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Finding the Third Proportional to 178,422 and 242,199

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Solution

The third proportional to 178,422 and 242,199 is: 328,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,422 : 242,199 = 242,199 : x
  2. Step 2: Convert to fraction form
    178,422/242,199 = 242,199/x
  3. Step 3: Cross multiply
    178,422x = 242,199 × 242,199
  4. Step 4: Simplify right side
    178,422x = 58,660,355,601
  5. Step 5: Solve for x
    x = 58,660,355,601/178,422
  6. Step 6: Final answer
    x = 328,773.11

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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.