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Finding the Third Proportional to 178,072 and 391,134

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Solution

The third proportional to 178,072 and 391,134 is: 859,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,072 : 391,134 = 391,134 : x
  2. Step 2: Convert to fraction form
    178,072/391,134 = 391,134/x
  3. Step 3: Cross multiply
    178,072x = 391,134 × 391,134
  4. Step 4: Simplify right side
    178,072x = 152,985,805,956
  5. Step 5: Solve for x
    x = 152,985,805,956/178,072
  6. Step 6: Final answer
    x = 859,123.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.