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Finding the Third Proportional to 144,613.13 and 222,418.13

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Solution

The third proportional to 144,613.13 and 222,418.13 is: 342,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,613.13 : 222,418.13 = 222,418.13 : x
  2. Step 2: Convert to fraction form
    144,613.13/222,418.13 = 222,418.13/x
  3. Step 3: Cross multiply
    144,613.13x = 222,418.13 × 222,418.13
  4. Step 4: Simplify right side
    144,613.13x = 49,469,822,328.52
  5. Step 5: Solve for x
    x = 49,469,822,328.52/144,613.13
  6. Step 6: Final answer
    x = 342,083.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.