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Finding the Third Proportional to 159,552 and 345,520

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Solution

The third proportional to 159,552 and 345,520 is: 748,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,552 : 345,520 = 345,520 : x
  2. Step 2: Convert to fraction form
    159,552/345,520 = 345,520/x
  3. Step 3: Cross multiply
    159,552x = 345,520 × 345,520
  4. Step 4: Simplify right side
    159,552x = 119,384,070,400
  5. Step 5: Solve for x
    x = 119,384,070,400/159,552
  6. Step 6: Final answer
    x = 748,245.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.