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Finding the Third Proportional to 114,978 and 243,870

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Solution

The third proportional to 114,978 and 243,870 is: 517,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,978 : 243,870 = 243,870 : x
  2. Step 2: Convert to fraction form
    114,978/243,870 = 243,870/x
  3. Step 3: Cross multiply
    114,978x = 243,870 × 243,870
  4. Step 4: Simplify right side
    114,978x = 59,472,576,900
  5. Step 5: Solve for x
    x = 59,472,576,900/114,978
  6. Step 6: Final answer
    x = 517,251.80

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.