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Finding the Third Proportional to 226,927.13 and 308,342.25

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Solution

The third proportional to 226,927.13 and 308,342.25 is: 418,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,927.13 : 308,342.25 = 308,342.25 : x
  2. Step 2: Convert to fraction form
    226,927.13/308,342.25 = 308,342.25/x
  3. Step 3: Cross multiply
    226,927.13x = 308,342.25 × 308,342.25
  4. Step 4: Simplify right side
    226,927.13x = 95,074,943,135.06
  5. Step 5: Solve for x
    x = 95,074,943,135.06/226,927.13
  6. Step 6: Final answer
    x = 418,966.85

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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.