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Finding the Third Proportional to 159,480 and 247,644

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Solution

The third proportional to 159,480 and 247,644 is: 384,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,480 : 247,644 = 247,644 : x
  2. Step 2: Convert to fraction form
    159,480/247,644 = 247,644/x
  3. Step 3: Cross multiply
    159,480x = 247,644 × 247,644
  4. Step 4: Simplify right side
    159,480x = 61,327,550,736
  5. Step 5: Solve for x
    x = 61,327,550,736/159,480
  6. Step 6: Final answer
    x = 384,546.97

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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.