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Finding the Third Proportional to 254,211 and 337,371.75

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Solution

The third proportional to 254,211 and 337,371.75 is: 447,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,211 : 337,371.75 = 337,371.75 : x
  2. Step 2: Convert to fraction form
    254,211/337,371.75 = 337,371.75/x
  3. Step 3: Cross multiply
    254,211x = 337,371.75 × 337,371.75
  4. Step 4: Simplify right side
    254,211x = 113,819,697,698.06
  5. Step 5: Solve for x
    x = 113,819,697,698.06/254,211
  6. Step 6: Final answer
    x = 447,737.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.