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Finding the Third Proportional to 80,386.50 and 176,539.50

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Solution

The third proportional to 80,386.50 and 176,539.50 is: 387,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,386.50 : 176,539.50 = 176,539.50 : x
  2. Step 2: Convert to fraction form
    80,386.50/176,539.50 = 176,539.50/x
  3. Step 3: Cross multiply
    80,386.50x = 176,539.50 × 176,539.50
  4. Step 4: Simplify right side
    80,386.50x = 31,166,195,060.25
  5. Step 5: Solve for x
    x = 31,166,195,060.25/80,386.50
  6. Step 6: Final answer
    x = 387,704.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.