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Finding the Third Proportional to 173,959 and 268,795

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Solution

The third proportional to 173,959 and 268,795 is: 415,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,959 : 268,795 = 268,795 : x
  2. Step 2: Convert to fraction form
    173,959/268,795 = 268,795/x
  3. Step 3: Cross multiply
    173,959x = 268,795 × 268,795
  4. Step 4: Simplify right side
    173,959x = 72,250,752,025
  5. Step 5: Solve for x
    x = 72,250,752,025/173,959
  6. Step 6: Final answer
    x = 415,332.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.