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Finding the Third Proportional to 132,744 and 291,732

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Solution

The third proportional to 132,744 and 291,732 is: 641,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,744 : 291,732 = 291,732 : x
  2. Step 2: Convert to fraction form
    132,744/291,732 = 291,732/x
  3. Step 3: Cross multiply
    132,744x = 291,732 × 291,732
  4. Step 4: Simplify right side
    132,744x = 85,107,559,824
  5. Step 5: Solve for x
    x = 85,107,559,824/132,744
  6. Step 6: Final answer
    x = 641,140.54

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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.