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Finding the Third Proportional to 148,023 and 225,733.50

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Solution

The third proportional to 148,023 and 225,733.50 is: 344,241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,023 : 225,733.50 = 225,733.50 : x
  2. Step 2: Convert to fraction form
    148,023/225,733.50 = 225,733.50/x
  3. Step 3: Cross multiply
    148,023x = 225,733.50 × 225,733.50
  4. Step 4: Simplify right side
    148,023x = 50,955,613,022.25
  5. Step 5: Solve for x
    x = 50,955,613,022.25/148,023
  6. Step 6: Final answer
    x = 344,241.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.