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Finding the Third Proportional to 200,025 and 292,138.50

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Solution

The third proportional to 200,025 and 292,138.50 is: 426,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,025 : 292,138.50 = 292,138.50 : x
  2. Step 2: Convert to fraction form
    200,025/292,138.50 = 292,138.50/x
  3. Step 3: Cross multiply
    200,025x = 292,138.50 × 292,138.50
  4. Step 4: Simplify right side
    200,025x = 85,344,903,182.25
  5. Step 5: Solve for x
    x = 85,344,903,182.25/200,025
  6. Step 6: Final answer
    x = 426,671.18

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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.