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Finding the Third Proportional to 178,418 and 244,659

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Solution

The third proportional to 178,418 and 244,659 is: 335,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,418 : 244,659 = 244,659 : x
  2. Step 2: Convert to fraction form
    178,418/244,659 = 244,659/x
  3. Step 3: Cross multiply
    178,418x = 244,659 × 244,659
  4. Step 4: Simplify right side
    178,418x = 59,858,026,281
  5. Step 5: Solve for x
    x = 59,858,026,281/178,418
  6. Step 6: Final answer
    x = 335,493.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.