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Finding the Third Proportional to 159,221 and 232,267

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Solution

The third proportional to 159,221 and 232,267 is: 338,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,221 : 232,267 = 232,267 : x
  2. Step 2: Convert to fraction form
    159,221/232,267 = 232,267/x
  3. Step 3: Cross multiply
    159,221x = 232,267 × 232,267
  4. Step 4: Simplify right side
    159,221x = 53,947,959,289
  5. Step 5: Solve for x
    x = 53,947,959,289/159,221
  6. Step 6: Final answer
    x = 338,824.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.