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Finding the Third Proportional to 174,825 and 261,549

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Solution

The third proportional to 174,825 and 261,549 is: 391,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,825 : 261,549 = 261,549 : x
  2. Step 2: Convert to fraction form
    174,825/261,549 = 261,549/x
  3. Step 3: Cross multiply
    174,825x = 261,549 × 261,549
  4. Step 4: Simplify right side
    174,825x = 68,407,879,401
  5. Step 5: Solve for x
    x = 68,407,879,401/174,825
  6. Step 6: Final answer
    x = 391,293.46

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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.