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Finding the Third Proportional to 132,933 and 291,699

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Solution

The third proportional to 132,933 and 291,699 is: 640,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,933 : 291,699 = 291,699 : x
  2. Step 2: Convert to fraction form
    132,933/291,699 = 291,699/x
  3. Step 3: Cross multiply
    132,933x = 291,699 × 291,699
  4. Step 4: Simplify right side
    132,933x = 85,088,306,601
  5. Step 5: Solve for x
    x = 85,088,306,601/132,933
  6. Step 6: Final answer
    x = 640,084.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.