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Finding the Third Proportional to 159,708 and 247,248

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Solution

The third proportional to 159,708 and 247,248 is: 382,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,708 : 247,248 = 247,248 : x
  2. Step 2: Convert to fraction form
    159,708/247,248 = 247,248/x
  3. Step 3: Cross multiply
    159,708x = 247,248 × 247,248
  4. Step 4: Simplify right side
    159,708x = 61,131,573,504
  5. Step 5: Solve for x
    x = 61,131,573,504/159,708
  6. Step 6: Final answer
    x = 382,770.89

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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.