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Finding the Third Proportional to 225,788.25 and 349,800.75

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Solution

The third proportional to 225,788.25 and 349,800.75 is: 541,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,788.25 : 349,800.75 = 349,800.75 : x
  2. Step 2: Convert to fraction form
    225,788.25/349,800.75 = 349,800.75/x
  3. Step 3: Cross multiply
    225,788.25x = 349,800.75 × 349,800.75
  4. Step 4: Simplify right side
    225,788.25x = 122,360,564,700.56
  5. Step 5: Solve for x
    x = 122,360,564,700.56/225,788.25
  6. Step 6: Final answer
    x = 541,926.18

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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.