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Finding the Third Proportional to 178,554 and 242,225

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Solution

The third proportional to 178,554 and 242,225 is: 328,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,554 : 242,225 = 242,225 : x
  2. Step 2: Convert to fraction form
    178,554/242,225 = 242,225/x
  3. Step 3: Cross multiply
    178,554x = 242,225 × 242,225
  4. Step 4: Simplify right side
    178,554x = 58,672,950,625
  5. Step 5: Solve for x
    x = 58,672,950,625/178,554
  6. Step 6: Final answer
    x = 328,600.59

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