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Finding the Third Proportional to 178,864.31 and 379,045.13

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Solution

The third proportional to 178,864.31 and 379,045.13 is: 803,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,864.31 : 379,045.13 = 379,045.13 : x
  2. Step 2: Convert to fraction form
    178,864.31/379,045.13 = 379,045.13/x
  3. Step 3: Cross multiply
    178,864.31x = 379,045.13 × 379,045.13
  4. Step 4: Simplify right side
    178,864.31x = 143,675,206,786.27
  5. Step 5: Solve for x
    x = 143,675,206,786.27/178,864.31
  6. Step 6: Final answer
    x = 803,263.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.