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Finding the Third Proportional to 80,497.13 and 176,828.06

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Solution

The third proportional to 80,497.13 and 176,828.06 is: 388,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,497.13 : 176,828.06 = 176,828.06 : x
  2. Step 2: Convert to fraction form
    80,497.13/176,828.06 = 176,828.06/x
  3. Step 3: Cross multiply
    80,497.13x = 176,828.06 × 176,828.06
  4. Step 4: Simplify right side
    80,497.13x = 31,268,163,687.50
  5. Step 5: Solve for x
    x = 31,268,163,687.50/80,497.13
  6. Step 6: Final answer
    x = 388,438.27

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Why These Related Problems?

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