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Finding the Third Proportional to 87,360 and 205,184

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Solution

The third proportional to 87,360 and 205,184 is: 481,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,360 : 205,184 = 205,184 : x
  2. Step 2: Convert to fraction form
    87,360/205,184 = 205,184/x
  3. Step 3: Cross multiply
    87,360x = 205,184 × 205,184
  4. Step 4: Simplify right side
    87,360x = 42,100,473,856
  5. Step 5: Solve for x
    x = 42,100,473,856/87,360
  6. Step 6: Final answer
    x = 481,919.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.