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Finding the Third Proportional to 159,708 and 345,996

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Solution

The third proportional to 159,708 and 345,996 is: 749,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,708 : 345,996 = 345,996 : x
  2. Step 2: Convert to fraction form
    159,708/345,996 = 345,996/x
  3. Step 3: Cross multiply
    159,708x = 345,996 × 345,996
  4. Step 4: Simplify right side
    159,708x = 119,713,232,016
  5. Step 5: Solve for x
    x = 119,713,232,016/159,708
  6. Step 6: Final answer
    x = 749,575.68

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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.