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Finding the Third Proportional to 226,364.63 and 306,331.88

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Solution

The third proportional to 226,364.63 and 306,331.88 is: 414,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,364.63 : 306,331.88 = 306,331.88 : x
  2. Step 2: Convert to fraction form
    226,364.63/306,331.88 = 306,331.88/x
  3. Step 3: Cross multiply
    226,364.63x = 306,331.88 × 306,331.88
  4. Step 4: Simplify right side
    226,364.63x = 93,839,217,641.02
  5. Step 5: Solve for x
    x = 93,839,217,641.02/226,364.63
  6. Step 6: Final answer
    x = 414,548.95

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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.