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Finding the Third Proportional to 176,265.56 and 386,321.63

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Solution

The third proportional to 176,265.56 and 386,321.63 is: 846,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,265.56 : 386,321.63 = 386,321.63 : x
  2. Step 2: Convert to fraction form
    176,265.56/386,321.63 = 386,321.63/x
  3. Step 3: Cross multiply
    176,265.56x = 386,321.63 × 386,321.63
  4. Step 4: Simplify right side
    176,265.56x = 149,244,397,942.64
  5. Step 5: Solve for x
    x = 149,244,397,942.64/176,265.56
  6. Step 6: Final answer
    x = 846,701.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.