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Finding the Third Proportional to 175,489 and 279,026

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Solution

The third proportional to 175,489 and 279,026 is: 443,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,489 : 279,026 = 279,026 : x
  2. Step 2: Convert to fraction form
    175,489/279,026 = 279,026/x
  3. Step 3: Cross multiply
    175,489x = 279,026 × 279,026
  4. Step 4: Simplify right side
    175,489x = 77,855,508,676
  5. Step 5: Solve for x
    x = 77,855,508,676/175,489
  6. Step 6: Final answer
    x = 443,648.94

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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.