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Finding the Third Proportional to 206,662.88 and 292,508.25

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Solution

The third proportional to 206,662.88 and 292,508.25 is: 414,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,662.88 : 292,508.25 = 292,508.25 : x
  2. Step 2: Convert to fraction form
    206,662.88/292,508.25 = 292,508.25/x
  3. Step 3: Cross multiply
    206,662.88x = 292,508.25 × 292,508.25
  4. Step 4: Simplify right side
    206,662.88x = 85,561,076,318.06
  5. Step 5: Solve for x
    x = 85,561,076,318.06/206,662.88
  6. Step 6: Final answer
    x = 414,012.80

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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.