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Finding the Third Proportional to 132,391 and 291,506

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Solution

The third proportional to 132,391 and 291,506 is: 641,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,391 : 291,506 = 291,506 : x
  2. Step 2: Convert to fraction form
    132,391/291,506 = 291,506/x
  3. Step 3: Cross multiply
    132,391x = 291,506 × 291,506
  4. Step 4: Simplify right side
    132,391x = 84,975,748,036
  5. Step 5: Solve for x
    x = 84,975,748,036/132,391
  6. Step 6: Final answer
    x = 641,854.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.