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Finding the Third Proportional to 158,656 and 345,744

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Solution

The third proportional to 158,656 and 345,744 is: 753,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,656 : 345,744 = 345,744 : x
  2. Step 2: Convert to fraction form
    158,656/345,744 = 345,744/x
  3. Step 3: Cross multiply
    158,656x = 345,744 × 345,744
  4. Step 4: Simplify right side
    158,656x = 119,538,913,536
  5. Step 5: Solve for x
    x = 119,538,913,536/158,656
  6. Step 6: Final answer
    x = 753,447.17

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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.