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Finding the Third Proportional to 158,876 and 349,737

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Solution

The third proportional to 158,876 and 349,737 is: 769,883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,876 : 349,737 = 349,737 : x
  2. Step 2: Convert to fraction form
    158,876/349,737 = 349,737/x
  3. Step 3: Cross multiply
    158,876x = 349,737 × 349,737
  4. Step 4: Simplify right side
    158,876x = 122,315,969,169
  5. Step 5: Solve for x
    x = 122,315,969,169/158,876
  6. Step 6: Final answer
    x = 769,883.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.