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Finding the Third Proportional to 83,724.75 and 197,604

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Solution

The third proportional to 83,724.75 and 197,604 is: 466,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,724.75 : 197,604 = 197,604 : x
  2. Step 2: Convert to fraction form
    83,724.75/197,604 = 197,604/x
  3. Step 3: Cross multiply
    83,724.75x = 197,604 × 197,604
  4. Step 4: Simplify right side
    83,724.75x = 39,047,340,816
  5. Step 5: Solve for x
    x = 39,047,340,816/83,724.75
  6. Step 6: Final answer
    x = 466,377.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.