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Finding the Third Proportional to 225,416 and 337,417

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Solution

The third proportional to 225,416 and 337,417 is: 505,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,416 : 337,417 = 337,417 : x
  2. Step 2: Convert to fraction form
    225,416/337,417 = 337,417/x
  3. Step 3: Cross multiply
    225,416x = 337,417 × 337,417
  4. Step 4: Simplify right side
    225,416x = 113,850,231,889
  5. Step 5: Solve for x
    x = 113,850,231,889/225,416
  6. Step 6: Final answer
    x = 505,067.22

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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.