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Finding the Third Proportional to 175,800 and 279,510

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Solution

The third proportional to 175,800 and 279,510 is: 444,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,800 : 279,510 = 279,510 : x
  2. Step 2: Convert to fraction form
    175,800/279,510 = 279,510/x
  3. Step 3: Cross multiply
    175,800x = 279,510 × 279,510
  4. Step 4: Simplify right side
    175,800x = 78,125,840,100
  5. Step 5: Solve for x
    x = 78,125,840,100/175,800
  6. Step 6: Final answer
    x = 444,401.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.