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Finding the Third Proportional to 80,904 and 176,011.50

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Solution

The third proportional to 80,904 and 176,011.50 is: 382,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,904 : 176,011.50 = 176,011.50 : x
  2. Step 2: Convert to fraction form
    80,904/176,011.50 = 176,011.50/x
  3. Step 3: Cross multiply
    80,904x = 176,011.50 × 176,011.50
  4. Step 4: Simplify right side
    80,904x = 30,980,048,132.25
  5. Step 5: Solve for x
    x = 30,980,048,132.25/80,904
  6. Step 6: Final answer
    x = 382,923.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.