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Finding the Third Proportional to 179,119.69 and 261,295.88

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Solution

The third proportional to 179,119.69 and 261,295.88 is: 381,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,119.69 : 261,295.88 = 261,295.88 : x
  2. Step 2: Convert to fraction form
    179,119.69/261,295.88 = 261,295.88/x
  3. Step 3: Cross multiply
    179,119.69x = 261,295.88 × 261,295.88
  4. Step 4: Simplify right side
    179,119.69x = 68,275,534,292.02
  5. Step 5: Solve for x
    x = 68,275,534,292.02/179,119.69
  6. Step 6: Final answer
    x = 381,172.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.