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Finding the Third Proportional to 206,667 and 292,514.50

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Solution

The third proportional to 206,667 and 292,514.50 is: 414,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,667 : 292,514.50 = 292,514.50 : x
  2. Step 2: Convert to fraction form
    206,667/292,514.50 = 292,514.50/x
  3. Step 3: Cross multiply
    206,667x = 292,514.50 × 292,514.50
  4. Step 4: Simplify right side
    206,667x = 85,564,732,710.25
  5. Step 5: Solve for x
    x = 85,564,732,710.25/206,667
  6. Step 6: Final answer
    x = 414,022.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.