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Finding the Third Proportional to 200,002.50 and 292,106.25

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Solution

The third proportional to 200,002.50 and 292,106.25 is: 426,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,002.50 : 292,106.25 = 292,106.25 : x
  2. Step 2: Convert to fraction form
    200,002.50/292,106.25 = 292,106.25/x
  3. Step 3: Cross multiply
    200,002.50x = 292,106.25 × 292,106.25
  4. Step 4: Simplify right side
    200,002.50x = 85,326,061,289.06
  5. Step 5: Solve for x
    x = 85,326,061,289.06/200,002.50
  6. Step 6: Final answer
    x = 426,624.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.