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Finding the Third Proportional to 109,414.25 and 235,566.50

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Solution

The third proportional to 109,414.25 and 235,566.50 is: 507,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,414.25 : 235,566.50 = 235,566.50 : x
  2. Step 2: Convert to fraction form
    109,414.25/235,566.50 = 235,566.50/x
  3. Step 3: Cross multiply
    109,414.25x = 235,566.50 × 235,566.50
  4. Step 4: Simplify right side
    109,414.25x = 55,491,575,922.25
  5. Step 5: Solve for x
    x = 55,491,575,922.25/109,414.25
  6. Step 6: Final answer
    x = 507,169.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.