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Finding the Third Proportional to 158,132 and 345,448

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Solution

The third proportional to 158,132 and 345,448 is: 754,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,132 : 345,448 = 345,448 : x
  2. Step 2: Convert to fraction form
    158,132/345,448 = 345,448/x
  3. Step 3: Cross multiply
    158,132x = 345,448 × 345,448
  4. Step 4: Simplify right side
    158,132x = 119,334,320,704
  5. Step 5: Solve for x
    x = 119,334,320,704/158,132
  6. Step 6: Final answer
    x = 754,650.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.