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Finding the Third Proportional to 183,723.19 and 275,584.78

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Solution

The third proportional to 183,723.19 and 275,584.78 is: 413,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,723.19 : 275,584.78 = 275,584.78 : x
  2. Step 2: Convert to fraction form
    183,723.19/275,584.78 = 275,584.78/x
  3. Step 3: Cross multiply
    183,723.19x = 275,584.78 × 275,584.78
  4. Step 4: Simplify right side
    183,723.19x = 75,946,971,656.61
  5. Step 5: Solve for x
    x = 75,946,971,656.61/183,723.19
  6. Step 6: Final answer
    x = 413,377.17

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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.