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Finding the Third Proportional to 200,054 and 292,172

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Solution

The third proportional to 200,054 and 292,172 is: 426,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,054 : 292,172 = 292,172 : x
  2. Step 2: Convert to fraction form
    200,054/292,172 = 292,172/x
  3. Step 3: Cross multiply
    200,054x = 292,172 × 292,172
  4. Step 4: Simplify right side
    200,054x = 85,364,477,584
  5. Step 5: Solve for x
    x = 85,364,477,584/200,054
  6. Step 6: Final answer
    x = 426,707.18

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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.