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Finding the Third Proportional to 178,164 and 261,413

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Solution

The third proportional to 178,164 and 261,413 is: 383,560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,164 : 261,413 = 261,413 : x
  2. Step 2: Convert to fraction form
    178,164/261,413 = 261,413/x
  3. Step 3: Cross multiply
    178,164x = 261,413 × 261,413
  4. Step 4: Simplify right side
    178,164x = 68,336,756,569
  5. Step 5: Solve for x
    x = 68,336,756,569/178,164
  6. Step 6: Final answer
    x = 383,560.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.