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Finding the Third Proportional to 205,030.75 and 443,757.25

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Solution

The third proportional to 205,030.75 and 443,757.25 is: 960,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,030.75 : 443,757.25 = 443,757.25 : x
  2. Step 2: Convert to fraction form
    205,030.75/443,757.25 = 443,757.25/x
  3. Step 3: Cross multiply
    205,030.75x = 443,757.25 × 443,757.25
  4. Step 4: Simplify right side
    205,030.75x = 196,920,496,927.56
  5. Step 5: Solve for x
    x = 196,920,496,927.56/205,030.75
  6. Step 6: Final answer
    x = 960,443.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.