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Finding the Third Proportional to 111,545.25 and 243,399

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Solution

The third proportional to 111,545.25 and 243,399 is: 531,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,545.25 : 243,399 = 243,399 : x
  2. Step 2: Convert to fraction form
    111,545.25/243,399 = 243,399/x
  3. Step 3: Cross multiply
    111,545.25x = 243,399 × 243,399
  4. Step 4: Simplify right side
    111,545.25x = 59,243,073,201
  5. Step 5: Solve for x
    x = 59,243,073,201/111,545.25
  6. Step 6: Final answer
    x = 531,112.47

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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.