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Finding the Third Proportional to 80,304.75 and 174,448.13

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Solution

The third proportional to 80,304.75 and 174,448.13 is: 378,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,304.75 : 174,448.13 = 174,448.13 : x
  2. Step 2: Convert to fraction form
    80,304.75/174,448.13 = 174,448.13/x
  3. Step 3: Cross multiply
    80,304.75x = 174,448.13 × 174,448.13
  4. Step 4: Simplify right side
    80,304.75x = 30,432,148,316.02
  5. Step 5: Solve for x
    x = 30,432,148,316.02/80,304.75
  6. Step 6: Final answer
    x = 378,958.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.