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Finding the Third Proportional to 219,169.13 and 472,191.75

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Solution

The third proportional to 219,169.13 and 472,191.75 is: 1,017,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,169.13 : 472,191.75 = 472,191.75 : x
  2. Step 2: Convert to fraction form
    219,169.13/472,191.75 = 472,191.75/x
  3. Step 3: Cross multiply
    219,169.13x = 472,191.75 × 472,191.75
  4. Step 4: Simplify right side
    219,169.13x = 222,965,048,768.06
  5. Step 5: Solve for x
    x = 222,965,048,768.06/219,169.13
  6. Step 6: Final answer
    x = 1,017,319.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.