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Finding the Third Proportional to 158,486 and 345,404

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Solution

The third proportional to 158,486 and 345,404 is: 752,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,486 : 345,404 = 345,404 : x
  2. Step 2: Convert to fraction form
    158,486/345,404 = 345,404/x
  3. Step 3: Cross multiply
    158,486x = 345,404 × 345,404
  4. Step 4: Simplify right side
    158,486x = 119,303,923,216
  5. Step 5: Solve for x
    x = 119,303,923,216/158,486
  6. Step 6: Final answer
    x = 752,772.63

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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.