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Finding the Third Proportional to 174,031 and 276,919

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Solution

The third proportional to 174,031 and 276,919 is: 440,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,031 : 276,919 = 276,919 : x
  2. Step 2: Convert to fraction form
    174,031/276,919 = 276,919/x
  3. Step 3: Cross multiply
    174,031x = 276,919 × 276,919
  4. Step 4: Simplify right side
    174,031x = 76,684,132,561
  5. Step 5: Solve for x
    x = 76,684,132,561/174,031
  6. Step 6: Final answer
    x = 440,634.90

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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.