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Finding the Third Proportional to 114,843 and 243,600

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Solution

The third proportional to 114,843 and 243,600 is: 516,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,843 : 243,600 = 243,600 : x
  2. Step 2: Convert to fraction form
    114,843/243,600 = 243,600/x
  3. Step 3: Cross multiply
    114,843x = 243,600 × 243,600
  4. Step 4: Simplify right side
    114,843x = 59,340,960,000
  5. Step 5: Solve for x
    x = 59,340,960,000/114,843
  6. Step 6: Final answer
    x = 516,713.77

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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.