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Finding the Third Proportional to 178,650 and 372,001

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Solution

The third proportional to 178,650 and 372,001 is: 774,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,650 : 372,001 = 372,001 : x
  2. Step 2: Convert to fraction form
    178,650/372,001 = 372,001/x
  3. Step 3: Cross multiply
    178,650x = 372,001 × 372,001
  4. Step 4: Simplify right side
    178,650x = 138,384,744,001
  5. Step 5: Solve for x
    x = 138,384,744,001/178,650
  6. Step 6: Final answer
    x = 774,613.74

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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.