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Finding the Third Proportional to 159,484 and 247,650

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Solution

The third proportional to 159,484 and 247,650 is: 384,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,484 : 247,650 = 247,650 : x
  2. Step 2: Convert to fraction form
    159,484/247,650 = 247,650/x
  3. Step 3: Cross multiply
    159,484x = 247,650 × 247,650
  4. Step 4: Simplify right side
    159,484x = 61,330,522,500
  5. Step 5: Solve for x
    x = 61,330,522,500/159,484
  6. Step 6: Final answer
    x = 384,555.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.