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Finding the Third Proportional to 225,520 and 337,544

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Solution

The third proportional to 225,520 and 337,544 is: 505,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,520 : 337,544 = 337,544 : x
  2. Step 2: Convert to fraction form
    225,520/337,544 = 337,544/x
  3. Step 3: Cross multiply
    225,520x = 337,544 × 337,544
  4. Step 4: Simplify right side
    225,520x = 113,935,951,936
  5. Step 5: Solve for x
    x = 113,935,951,936/225,520
  6. Step 6: Final answer
    x = 505,214.40

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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.