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Finding the Third Proportional to 206,585.00 and 319,219.24

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Solution

The third proportional to 206,585.00 and 319,219.24 is: 493,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,585.00 : 319,219.24 = 319,219.24 : x
  2. Step 2: Convert to fraction form
    206,585.00/319,219.24 = 319,219.24/x
  3. Step 3: Cross multiply
    206,585.00x = 319,219.24 × 319,219.24
  4. Step 4: Simplify right side
    206,585.00x = 101,900,923,179.95
  5. Step 5: Solve for x
    x = 101,900,923,179.95/206,585.00
  6. Step 6: Final answer
    x = 493,263.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.