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Finding the Third Proportional to 148,810 and 224,556.75

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Solution

The third proportional to 148,810 and 224,556.75 is: 338,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,810 : 224,556.75 = 224,556.75 : x
  2. Step 2: Convert to fraction form
    148,810/224,556.75 = 224,556.75/x
  3. Step 3: Cross multiply
    148,810x = 224,556.75 × 224,556.75
  4. Step 4: Simplify right side
    148,810x = 50,425,733,970.56
  5. Step 5: Solve for x
    x = 50,425,733,970.56/148,810
  6. Step 6: Final answer
    x = 338,859.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.