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Finding the Third Proportional to 159,520 and 247,696

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Solution

The third proportional to 159,520 and 247,696 is: 384,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,520 : 247,696 = 247,696 : x
  2. Step 2: Convert to fraction form
    159,520/247,696 = 247,696/x
  3. Step 3: Cross multiply
    159,520x = 247,696 × 247,696
  4. Step 4: Simplify right side
    159,520x = 61,353,308,416
  5. Step 5: Solve for x
    x = 61,353,308,416/159,520
  6. Step 6: Final answer
    x = 384,612.01

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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.