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Finding the Third Proportional to 111,471.75 and 242,624.25

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Solution

The third proportional to 111,471.75 and 242,624.25 is: 528,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,471.75 : 242,624.25 = 242,624.25 : x
  2. Step 2: Convert to fraction form
    111,471.75/242,624.25 = 242,624.25/x
  3. Step 3: Cross multiply
    111,471.75x = 242,624.25 × 242,624.25
  4. Step 4: Simplify right side
    111,471.75x = 58,866,526,688.06
  5. Step 5: Solve for x
    x = 58,866,526,688.06/111,471.75
  6. Step 6: Final answer
    x = 528,084.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.