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Finding the Third Proportional to 226,045.69 and 306,987.47

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Solution

The third proportional to 226,045.69 and 306,987.47 is: 416,912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,045.69 : 306,987.47 = 306,987.47 : x
  2. Step 2: Convert to fraction form
    226,045.69/306,987.47 = 306,987.47/x
  3. Step 3: Cross multiply
    226,045.69x = 306,987.47 × 306,987.47
  4. Step 4: Simplify right side
    226,045.69x = 94,241,305,969.53
  5. Step 5: Solve for x
    x = 94,241,305,969.53/226,045.69
  6. Step 6: Final answer
    x = 416,912.65

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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.