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Finding the Third Proportional to 156,782 and 344,778

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Solution

The third proportional to 156,782 and 344,778 is: 758,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782 : 344,778 = 344,778 : x
  2. Step 2: Convert to fraction form
    156,782/344,778 = 344,778/x
  3. Step 3: Cross multiply
    156,782x = 344,778 × 344,778
  4. Step 4: Simplify right side
    156,782x = 118,871,869,284
  5. Step 5: Solve for x
    x = 118,871,869,284/156,782
  6. Step 6: Final answer
    x = 758,198.45

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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.