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Finding the Third Proportional to 174,750 and 261,429

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Solution

The third proportional to 174,750 and 261,429 is: 391,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,750 : 261,429 = 261,429 : x
  2. Step 2: Convert to fraction form
    174,750/261,429 = 261,429/x
  3. Step 3: Cross multiply
    174,750x = 261,429 × 261,429
  4. Step 4: Simplify right side
    174,750x = 68,345,122,041
  5. Step 5: Solve for x
    x = 68,345,122,041/174,750
  6. Step 6: Final answer
    x = 391,102.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.