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Finding the Third Proportional to 268,566.05 and 364,959.42

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Solution

The third proportional to 268,566.05 and 364,959.42 is: 495,950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,566.05 : 364,959.42 = 364,959.42 : x
  2. Step 2: Convert to fraction form
    268,566.05/364,959.42 = 364,959.42/x
  3. Step 3: Cross multiply
    268,566.05x = 364,959.42 × 364,959.42
  4. Step 4: Simplify right side
    268,566.05x = 133,195,379,615.33
  5. Step 5: Solve for x
    x = 133,195,379,615.33/268,566.05
  6. Step 6: Final answer
    x = 495,950.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.