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Finding the Third Proportional to 203,214 and 445,686

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Solution

The third proportional to 203,214 and 445,686 is: 977,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,214 : 445,686 = 445,686 : x
  2. Step 2: Convert to fraction form
    203,214/445,686 = 445,686/x
  3. Step 3: Cross multiply
    203,214x = 445,686 × 445,686
  4. Step 4: Simplify right side
    203,214x = 198,636,010,596
  5. Step 5: Solve for x
    x = 198,636,010,596/203,214
  6. Step 6: Final answer
    x = 977,472.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.