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Finding the Third Proportional to 203,656 and 447,160

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Solution

The third proportional to 203,656 and 447,160 is: 981,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,656 : 447,160 = 447,160 : x
  2. Step 2: Convert to fraction form
    203,656/447,160 = 447,160/x
  3. Step 3: Cross multiply
    203,656x = 447,160 × 447,160
  4. Step 4: Simplify right side
    203,656x = 199,952,065,600
  5. Step 5: Solve for x
    x = 199,952,065,600/203,656
  6. Step 6: Final answer
    x = 981,812.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.