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Finding the Third Proportional to 132,629 and 271,387

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Solution

The third proportional to 132,629 and 271,387 is: 555,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,629 : 271,387 = 271,387 : x
  2. Step 2: Convert to fraction form
    132,629/271,387 = 271,387/x
  3. Step 3: Cross multiply
    132,629x = 271,387 × 271,387
  4. Step 4: Simplify right side
    132,629x = 73,650,903,769
  5. Step 5: Solve for x
    x = 73,650,903,769/132,629
  6. Step 6: Final answer
    x = 555,315.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.