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Finding the Third Proportional to 225,448 and 337,458

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Solution

The third proportional to 225,448 and 337,458 is: 505,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,448 : 337,458 = 337,458 : x
  2. Step 2: Convert to fraction form
    225,448/337,458 = 337,458/x
  3. Step 3: Cross multiply
    225,448x = 337,458 × 337,458
  4. Step 4: Simplify right side
    225,448x = 113,877,901,764
  5. Step 5: Solve for x
    x = 113,877,901,764/225,448
  6. Step 6: Final answer
    x = 505,118.26

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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.