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Finding the Third Proportional to 247,147 and 539,600

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Solution

The third proportional to 247,147 and 539,600 is: 1,178,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,147 : 539,600 = 539,600 : x
  2. Step 2: Convert to fraction form
    247,147/539,600 = 539,600/x
  3. Step 3: Cross multiply
    247,147x = 539,600 × 539,600
  4. Step 4: Simplify right side
    247,147x = 291,168,160,000
  5. Step 5: Solve for x
    x = 291,168,160,000/247,147
  6. Step 6: Final answer
    x = 1,178,117.31

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Why These Related Problems?

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