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Finding the Third Proportional to 75,456 and 205,200

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Solution

The third proportional to 75,456 and 205,200 is: 558,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,456 : 205,200 = 205,200 : x
  2. Step 2: Convert to fraction form
    75,456/205,200 = 205,200/x
  3. Step 3: Cross multiply
    75,456x = 205,200 × 205,200
  4. Step 4: Simplify right side
    75,456x = 42,107,040,000
  5. Step 5: Solve for x
    x = 42,107,040,000/75,456
  6. Step 6: Final answer
    x = 558,034.35

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.