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Finding the Third Proportional to 226,291.13 and 311,718.75

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Solution

The third proportional to 226,291.13 and 311,718.75 is: 429,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,291.13 : 311,718.75 = 311,718.75 : x
  2. Step 2: Convert to fraction form
    226,291.13/311,718.75 = 311,718.75/x
  3. Step 3: Cross multiply
    226,291.13x = 311,718.75 × 311,718.75
  4. Step 4: Simplify right side
    226,291.13x = 97,168,579,101.56
  5. Step 5: Solve for x
    x = 97,168,579,101.56/226,291.13
  6. Step 6: Final answer
    x = 429,396.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.