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Finding the Third Proportional to 225,767.25 and 307,506.38

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Solution

The third proportional to 225,767.25 and 307,506.38 is: 418,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,767.25 : 307,506.38 = 307,506.38 : x
  2. Step 2: Convert to fraction form
    225,767.25/307,506.38 = 307,506.38/x
  3. Step 3: Cross multiply
    225,767.25x = 307,506.38 × 307,506.38
  4. Step 4: Simplify right side
    225,767.25x = 94,560,170,665.64
  5. Step 5: Solve for x
    x = 94,560,170,665.64/225,767.25
  6. Step 6: Final answer
    x = 418,839.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.