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Finding the Third Proportional to 158,016 and 345,593

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Solution

The third proportional to 158,016 and 345,593 is: 755,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,016 : 345,593 = 345,593 : x
  2. Step 2: Convert to fraction form
    158,016/345,593 = 345,593/x
  3. Step 3: Cross multiply
    158,016x = 345,593 × 345,593
  4. Step 4: Simplify right side
    158,016x = 119,434,521,649
  5. Step 5: Solve for x
    x = 119,434,521,649/158,016
  6. Step 6: Final answer
    x = 755,838.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.