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Finding the Third Proportional to 219,043.50 and 338,238

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Solution

The third proportional to 219,043.50 and 338,238 is: 522,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,043.50 : 338,238 = 338,238 : x
  2. Step 2: Convert to fraction form
    219,043.50/338,238 = 338,238/x
  3. Step 3: Cross multiply
    219,043.50x = 338,238 × 338,238
  4. Step 4: Simplify right side
    219,043.50x = 114,404,944,644
  5. Step 5: Solve for x
    x = 114,404,944,644/219,043.50
  6. Step 6: Final answer
    x = 522,293.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.