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Finding the Third Proportional to 130,516 and 207,436

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Solution

The third proportional to 130,516 and 207,436 is: 329,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,516 : 207,436 = 207,436 : x
  2. Step 2: Convert to fraction form
    130,516/207,436 = 207,436/x
  3. Step 3: Cross multiply
    130,516x = 207,436 × 207,436
  4. Step 4: Simplify right side
    130,516x = 43,029,694,096
  5. Step 5: Solve for x
    x = 43,029,694,096/130,516
  6. Step 6: Final answer
    x = 329,689.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.