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Finding the Third Proportional to 148,452.75 and 229,965.75

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Solution

The third proportional to 148,452.75 and 229,965.75 is: 356,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,452.75 : 229,965.75 = 229,965.75 : x
  2. Step 2: Convert to fraction form
    148,452.75/229,965.75 = 229,965.75/x
  3. Step 3: Cross multiply
    148,452.75x = 229,965.75 × 229,965.75
  4. Step 4: Simplify right side
    148,452.75x = 52,884,246,173.06
  5. Step 5: Solve for x
    x = 52,884,246,173.06/148,452.75
  6. Step 6: Final answer
    x = 356,236.22

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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.