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Finding the Third Proportional to 144,244.13 and 223,927.88

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Solution

The third proportional to 144,244.13 and 223,927.88 is: 347,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,244.13 : 223,927.88 = 223,927.88 : x
  2. Step 2: Convert to fraction form
    144,244.13/223,927.88 = 223,927.88/x
  3. Step 3: Cross multiply
    144,244.13x = 223,927.88 × 223,927.88
  4. Step 4: Simplify right side
    144,244.13x = 50,143,693,202.02
  5. Step 5: Solve for x
    x = 50,143,693,202.02/144,244.13
  6. Step 6: Final answer
    x = 347,630.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.