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Finding the Third Proportional to 226,663.50 and 306,711.75

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Solution

The third proportional to 226,663.50 and 306,711.75 is: 415,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,663.50 : 306,711.75 = 306,711.75 : x
  2. Step 2: Convert to fraction form
    226,663.50/306,711.75 = 306,711.75/x
  3. Step 3: Cross multiply
    226,663.50x = 306,711.75 × 306,711.75
  4. Step 4: Simplify right side
    226,663.50x = 94,072,097,588.06
  5. Step 5: Solve for x
    x = 94,072,097,588.06/226,663.50
  6. Step 6: Final answer
    x = 415,029.76

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.