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Finding the Third Proportional to 109,326.38 and 235,416.38

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Solution

The third proportional to 109,326.38 and 235,416.38 is: 506,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,326.38 : 235,416.38 = 235,416.38 : x
  2. Step 2: Convert to fraction form
    109,326.38/235,416.38 = 235,416.38/x
  3. Step 3: Cross multiply
    109,326.38x = 235,416.38 × 235,416.38
  4. Step 4: Simplify right side
    109,326.38x = 55,420,869,618.14
  5. Step 5: Solve for x
    x = 55,420,869,618.14/109,326.38
  6. Step 6: Final answer
    x = 506,930.46

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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.