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Finding the Third Proportional to 229,498.31 and 379,262.25

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Solution

The third proportional to 229,498.31 and 379,262.25 is: 626,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,498.31 : 379,262.25 = 379,262.25 : x
  2. Step 2: Convert to fraction form
    229,498.31/379,262.25 = 379,262.25/x
  3. Step 3: Cross multiply
    229,498.31x = 379,262.25 × 379,262.25
  4. Step 4: Simplify right side
    229,498.31x = 143,839,854,275.06
  5. Step 5: Solve for x
    x = 143,839,854,275.06/229,498.31
  6. Step 6: Final answer
    x = 626,757.79

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.