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Finding the Third Proportional to 141,023.25 and 220,110.75

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Solution

The third proportional to 141,023.25 and 220,110.75 is: 343,551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,023.25 : 220,110.75 = 220,110.75 : x
  2. Step 2: Convert to fraction form
    141,023.25/220,110.75 = 220,110.75/x
  3. Step 3: Cross multiply
    141,023.25x = 220,110.75 × 220,110.75
  4. Step 4: Simplify right side
    141,023.25x = 48,448,742,265.56
  5. Step 5: Solve for x
    x = 48,448,742,265.56/141,023.25
  6. Step 6: Final answer
    x = 343,551.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.