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Finding the Third Proportional to 159,987 and 345,632

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Solution

The third proportional to 159,987 and 345,632 is: 746,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,987 : 345,632 = 345,632 : x
  2. Step 2: Convert to fraction form
    159,987/345,632 = 345,632/x
  3. Step 3: Cross multiply
    159,987x = 345,632 × 345,632
  4. Step 4: Simplify right side
    159,987x = 119,461,479,424
  5. Step 5: Solve for x
    x = 119,461,479,424/159,987
  6. Step 6: Final answer
    x = 746,694.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.