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Finding the Third Proportional to 225,021.80 and 531,184.71

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Solution

The third proportional to 225,021.80 and 531,184.71 is: 1,253,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,021.80 : 531,184.71 = 531,184.71 : x
  2. Step 2: Convert to fraction form
    225,021.80/531,184.71 = 531,184.71/x
  3. Step 3: Cross multiply
    225,021.80x = 531,184.71 × 531,184.71
  4. Step 4: Simplify right side
    225,021.80x = 282,157,197,133.76
  5. Step 5: Solve for x
    x = 282,157,197,133.76/225,021.80
  6. Step 6: Final answer
    x = 1,253,910.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.