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Finding the Third Proportional to 148,542.19 and 223,525.69

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Solution

The third proportional to 148,542.19 and 223,525.69 is: 336,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,542.19 : 223,525.69 = 223,525.69 : x
  2. Step 2: Convert to fraction form
    148,542.19/223,525.69 = 223,525.69/x
  3. Step 3: Cross multiply
    148,542.19x = 223,525.69 × 223,525.69
  4. Step 4: Simplify right side
    148,542.19x = 49,963,732,972.35
  5. Step 5: Solve for x
    x = 49,963,732,972.35/148,542.19
  6. Step 6: Final answer
    x = 336,360.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.