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Finding the Third Proportional to 206,680.50 and 292,533.19

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Solution

The third proportional to 206,680.50 and 292,533.19 is: 414,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,680.50 : 292,533.19 = 292,533.19 : x
  2. Step 2: Convert to fraction form
    206,680.50/292,533.19 = 292,533.19/x
  3. Step 3: Cross multiply
    206,680.50x = 292,533.19 × 292,533.19
  4. Step 4: Simplify right side
    206,680.50x = 85,575,665,788.91
  5. Step 5: Solve for x
    x = 85,575,665,788.91/206,680.50
  6. Step 6: Final answer
    x = 414,048.09

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