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Finding the Third Proportional to 138,304.13 and 208,726.88

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Solution

The third proportional to 138,304.13 and 208,726.88 is: 315,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,304.13 : 208,726.88 = 208,726.88 : x
  2. Step 2: Convert to fraction form
    138,304.13/208,726.88 = 208,726.88/x
  3. Step 3: Cross multiply
    138,304.13x = 208,726.88 × 208,726.88
  4. Step 4: Simplify right side
    138,304.13x = 43,566,908,347.27
  5. Step 5: Solve for x
    x = 43,566,908,347.27/138,304.13
  6. Step 6: Final answer
    x = 315,008.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.