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Finding the Third Proportional to 121,691.74 and 266,287.18

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Solution

The third proportional to 121,691.74 and 266,287.18 is: 582,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,691.74 : 266,287.18 = 266,287.18 : x
  2. Step 2: Convert to fraction form
    121,691.74/266,287.18 = 266,287.18/x
  3. Step 3: Cross multiply
    121,691.74x = 266,287.18 × 266,287.18
  4. Step 4: Simplify right side
    121,691.74x = 70,908,864,146.29
  5. Step 5: Solve for x
    x = 70,908,864,146.29/121,691.74
  6. Step 6: Final answer
    x = 582,692.49

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