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Finding the Third Proportional to 225,969.75 and 349,894.69

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Solution

The third proportional to 225,969.75 and 349,894.69 is: 541,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,969.75 : 349,894.69 = 349,894.69 : x
  2. Step 2: Convert to fraction form
    225,969.75/349,894.69 = 349,894.69/x
  3. Step 3: Cross multiply
    225,969.75x = 349,894.69 × 349,894.69
  4. Step 4: Simplify right side
    225,969.75x = 122,426,292,340.72
  5. Step 5: Solve for x
    x = 122,426,292,340.72/225,969.75
  6. Step 6: Final answer
    x = 541,781.78

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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.