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Finding the Third Proportional to 111,755.81 and 242,434.13

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Solution

The third proportional to 111,755.81 and 242,434.13 is: 525,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,755.81 : 242,434.13 = 242,434.13 : x
  2. Step 2: Convert to fraction form
    111,755.81/242,434.13 = 242,434.13/x
  3. Step 3: Cross multiply
    111,755.81x = 242,434.13 × 242,434.13
  4. Step 4: Simplify right side
    111,755.81x = 58,774,304,964.52
  5. Step 5: Solve for x
    x = 58,774,304,964.52/111,755.81
  6. Step 6: Final answer
    x = 525,917.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.