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Finding the Third Proportional to 74,246 and 155,782

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Solution

The third proportional to 74,246 and 155,782 is: 326,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,246 : 155,782 = 155,782 : x
  2. Step 2: Convert to fraction form
    74,246/155,782 = 155,782/x
  3. Step 3: Cross multiply
    74,246x = 155,782 × 155,782
  4. Step 4: Simplify right side
    74,246x = 24,268,031,524
  5. Step 5: Solve for x
    x = 24,268,031,524/74,246
  6. Step 6: Final answer
    x = 326,859.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.