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Finding the Third Proportional to 219,214 and 297,067

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Solution

The third proportional to 219,214 and 297,067 is: 402,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,214 : 297,067 = 297,067 : x
  2. Step 2: Convert to fraction form
    219,214/297,067 = 297,067/x
  3. Step 3: Cross multiply
    219,214x = 297,067 × 297,067
  4. Step 4: Simplify right side
    219,214x = 88,248,802,489
  5. Step 5: Solve for x
    x = 88,248,802,489/219,214
  6. Step 6: Final answer
    x = 402,569.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.