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Finding the Third Proportional to 230,404.50 and 329,478.75

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Solution

The third proportional to 230,404.50 and 329,478.75 is: 471,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,404.50 : 329,478.75 = 329,478.75 : x
  2. Step 2: Convert to fraction form
    230,404.50/329,478.75 = 329,478.75/x
  3. Step 3: Cross multiply
    230,404.50x = 329,478.75 × 329,478.75
  4. Step 4: Simplify right side
    230,404.50x = 108,556,246,701.56
  5. Step 5: Solve for x
    x = 108,556,246,701.56/230,404.50
  6. Step 6: Final answer
    x = 471,155.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.