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Finding the Third Proportional to 80,360 and 175,007

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Solution

The third proportional to 80,360 and 175,007 is: 381,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,360 : 175,007 = 175,007 : x
  2. Step 2: Convert to fraction form
    80,360/175,007 = 175,007/x
  3. Step 3: Cross multiply
    80,360x = 175,007 × 175,007
  4. Step 4: Simplify right side
    80,360x = 30,627,450,049
  5. Step 5: Solve for x
    x = 30,627,450,049/80,360
  6. Step 6: Final answer
    x = 381,128.05

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Why These Related Problems?

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