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Finding the Third Proportional to 215,391.50 and 469,950

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Solution

The third proportional to 215,391.50 and 469,950 is: 1,025,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,391.50 : 469,950 = 469,950 : x
  2. Step 2: Convert to fraction form
    215,391.50/469,950 = 469,950/x
  3. Step 3: Cross multiply
    215,391.50x = 469,950 × 469,950
  4. Step 4: Simplify right side
    215,391.50x = 220,853,002,500
  5. Step 5: Solve for x
    x = 220,853,002,500/215,391.50
  6. Step 6: Final answer
    x = 1,025,356.17

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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.