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Finding the Third Proportional to 225,789 and 349,799

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Solution

The third proportional to 225,789 and 349,799 is: 541,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,789 : 349,799 = 349,799 : x
  2. Step 2: Convert to fraction form
    225,789/349,799 = 349,799/x
  3. Step 3: Cross multiply
    225,789x = 349,799 × 349,799
  4. Step 4: Simplify right side
    225,789x = 122,359,340,401
  5. Step 5: Solve for x
    x = 122,359,340,401/225,789
  6. Step 6: Final answer
    x = 541,918.96

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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.