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Finding the Third Proportional to 201,769.31 and 301,575.66

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Solution

The third proportional to 201,769.31 and 301,575.66 is: 450,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,769.31 : 301,575.66 = 301,575.66 : x
  2. Step 2: Convert to fraction form
    201,769.31/301,575.66 = 301,575.66/x
  3. Step 3: Cross multiply
    201,769.31x = 301,575.66 × 301,575.66
  4. Step 4: Simplify right side
    201,769.31x = 90,947,876,442.62
  5. Step 5: Solve for x
    x = 90,947,876,442.62/201,769.31
  6. Step 6: Final answer
    x = 450,751.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.