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Finding the Third Proportional to 178,806 and 372,309

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Solution

The third proportional to 178,806 and 372,309 is: 775,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,806 : 372,309 = 372,309 : x
  2. Step 2: Convert to fraction form
    178,806/372,309 = 372,309/x
  3. Step 3: Cross multiply
    178,806x = 372,309 × 372,309
  4. Step 4: Simplify right side
    178,806x = 138,613,991,481
  5. Step 5: Solve for x
    x = 138,613,991,481/178,806
  6. Step 6: Final answer
    x = 775,220.02

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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.