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Finding the Third Proportional to 197,753.25 and 409,525.88

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Solution

The third proportional to 197,753.25 and 409,525.88 is: 848,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,753.25 : 409,525.88 = 409,525.88 : x
  2. Step 2: Convert to fraction form
    197,753.25/409,525.88 = 409,525.88/x
  3. Step 3: Cross multiply
    197,753.25x = 409,525.88 × 409,525.88
  4. Step 4: Simplify right side
    197,753.25x = 167,711,442,294.52
  5. Step 5: Solve for x
    x = 167,711,442,294.52/197,753.25
  6. Step 6: Final answer
    x = 848,084.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.