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Finding the Third Proportional to 230,265 and 323,799.75

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Solution

The third proportional to 230,265 and 323,799.75 is: 455,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,265 : 323,799.75 = 323,799.75 : x
  2. Step 2: Convert to fraction form
    230,265/323,799.75 = 323,799.75/x
  3. Step 3: Cross multiply
    230,265x = 323,799.75 × 323,799.75
  4. Step 4: Simplify right side
    230,265x = 104,846,278,100.06
  5. Step 5: Solve for x
    x = 104,846,278,100.06/230,265
  6. Step 6: Final answer
    x = 455,328.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.