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Finding the Third Proportional to 126,597 and 196,808

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Solution

The third proportional to 126,597 and 196,808 is: 305,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,597 : 196,808 = 196,808 : x
  2. Step 2: Convert to fraction form
    126,597/196,808 = 196,808/x
  3. Step 3: Cross multiply
    126,597x = 196,808 × 196,808
  4. Step 4: Simplify right side
    126,597x = 38,733,388,864
  5. Step 5: Solve for x
    x = 38,733,388,864/126,597
  6. Step 6: Final answer
    x = 305,958.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.