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Finding the Third Proportional to 159,329 and 232,419

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Solution

The third proportional to 159,329 and 232,419 is: 339,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,329 : 232,419 = 232,419 : x
  2. Step 2: Convert to fraction form
    159,329/232,419 = 232,419/x
  3. Step 3: Cross multiply
    159,329x = 232,419 × 232,419
  4. Step 4: Simplify right side
    159,329x = 54,018,591,561
  5. Step 5: Solve for x
    x = 54,018,591,561/159,329
  6. Step 6: Final answer
    x = 339,038.04

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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.