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Finding the Third Proportional to 148,112.30 and 313,872.47

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Solution

The third proportional to 148,112.30 and 313,872.47 is: 665,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,112.30 : 313,872.47 = 313,872.47 : x
  2. Step 2: Convert to fraction form
    148,112.30/313,872.47 = 313,872.47/x
  3. Step 3: Cross multiply
    148,112.30x = 313,872.47 × 313,872.47
  4. Step 4: Simplify right side
    148,112.30x = 98,515,926,639.22
  5. Step 5: Solve for x
    x = 98,515,926,639.22/148,112.30
  6. Step 6: Final answer
    x = 665,143.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.