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Finding the Third Proportional to 96,240 and 209,950

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Solution

The third proportional to 96,240 and 209,950 is: 458,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,240 : 209,950 = 209,950 : x
  2. Step 2: Convert to fraction form
    96,240/209,950 = 209,950/x
  3. Step 3: Cross multiply
    96,240x = 209,950 × 209,950
  4. Step 4: Simplify right side
    96,240x = 44,079,002,500
  5. Step 5: Solve for x
    x = 44,079,002,500/96,240
  6. Step 6: Final answer
    x = 458,011.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.