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Finding the Third Proportional to 132,374 and 288,070

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Solution

The third proportional to 132,374 and 288,070 is: 626,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,374 : 288,070 = 288,070 : x
  2. Step 2: Convert to fraction form
    132,374/288,070 = 288,070/x
  3. Step 3: Cross multiply
    132,374x = 288,070 × 288,070
  4. Step 4: Simplify right side
    132,374x = 82,984,324,900
  5. Step 5: Solve for x
    x = 82,984,324,900/132,374
  6. Step 6: Final answer
    x = 626,892.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.