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Finding the Third Proportional to 178,868 and 372,424

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Solution

The third proportional to 178,868 and 372,424 is: 775,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,868 : 372,424 = 372,424 : x
  2. Step 2: Convert to fraction form
    178,868/372,424 = 372,424/x
  3. Step 3: Cross multiply
    178,868x = 372,424 × 372,424
  4. Step 4: Simplify right side
    178,868x = 138,699,635,776
  5. Step 5: Solve for x
    x = 138,699,635,776/178,868
  6. Step 6: Final answer
    x = 775,430.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.