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Finding the Third Proportional to 234,378.56 and 331,862.06

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Solution

The third proportional to 234,378.56 and 331,862.06 is: 469,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,378.56 : 331,862.06 = 331,862.06 : x
  2. Step 2: Convert to fraction form
    234,378.56/331,862.06 = 331,862.06/x
  3. Step 3: Cross multiply
    234,378.56x = 331,862.06 × 331,862.06
  4. Step 4: Simplify right side
    234,378.56x = 110,132,428,526.75
  5. Step 5: Solve for x
    x = 110,132,428,526.75/234,378.56
  6. Step 6: Final answer
    x = 469,891.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.