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Finding the Third Proportional to 178,166 and 284,115

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Solution

The third proportional to 178,166 and 284,115 is: 453,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,166 : 284,115 = 284,115 : x
  2. Step 2: Convert to fraction form
    178,166/284,115 = 284,115/x
  3. Step 3: Cross multiply
    178,166x = 284,115 × 284,115
  4. Step 4: Simplify right side
    178,166x = 80,721,333,225
  5. Step 5: Solve for x
    x = 80,721,333,225/178,166
  6. Step 6: Final answer
    x = 453,068.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.