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Finding the Third Proportional to 215,291.25 and 316,708.31

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Solution

The third proportional to 215,291.25 and 316,708.31 is: 465,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,291.25 : 316,708.31 = 316,708.31 : x
  2. Step 2: Convert to fraction form
    215,291.25/316,708.31 = 316,708.31/x
  3. Step 3: Cross multiply
    215,291.25x = 316,708.31 × 316,708.31
  4. Step 4: Simplify right side
    215,291.25x = 100,304,155,206.60
  5. Step 5: Solve for x
    x = 100,304,155,206.60/215,291.25
  6. Step 6: Final answer
    x = 465,899.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.