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Finding the Third Proportional to 152,380 and 232,439

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Solution

The third proportional to 152,380 and 232,439 is: 354,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,380 : 232,439 = 232,439 : x
  2. Step 2: Convert to fraction form
    152,380/232,439 = 232,439/x
  3. Step 3: Cross multiply
    152,380x = 232,439 × 232,439
  4. Step 4: Simplify right side
    152,380x = 54,027,888,721
  5. Step 5: Solve for x
    x = 54,027,888,721/152,380
  6. Step 6: Final answer
    x = 354,560.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.