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Finding the Third Proportional to 159,782 and 248,434

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Solution

The third proportional to 159,782 and 248,434 is: 386,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,782 : 248,434 = 248,434 : x
  2. Step 2: Convert to fraction form
    159,782/248,434 = 248,434/x
  3. Step 3: Cross multiply
    159,782x = 248,434 × 248,434
  4. Step 4: Simplify right side
    159,782x = 61,719,452,356
  5. Step 5: Solve for x
    x = 61,719,452,356/159,782
  6. Step 6: Final answer
    x = 386,272.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.