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Finding the Third Proportional to 225,998 and 306,934

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Solution

The third proportional to 225,998 and 306,934 is: 416,855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,998 : 306,934 = 306,934 : x
  2. Step 2: Convert to fraction form
    225,998/306,934 = 306,934/x
  3. Step 3: Cross multiply
    225,998x = 306,934 × 306,934
  4. Step 4: Simplify right side
    225,998x = 94,208,480,356
  5. Step 5: Solve for x
    x = 94,208,480,356/225,998
  6. Step 6: Final answer
    x = 416,855.37

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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.