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Finding the Third Proportional to 178,567 and 242,514

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Solution

The third proportional to 178,567 and 242,514 is: 329,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,567 : 242,514 = 242,514 : x
  2. Step 2: Convert to fraction form
    178,567/242,514 = 242,514/x
  3. Step 3: Cross multiply
    178,567x = 242,514 × 242,514
  4. Step 4: Simplify right side
    178,567x = 58,813,040,196
  5. Step 5: Solve for x
    x = 58,813,040,196/178,567
  6. Step 6: Final answer
    x = 329,361.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.