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Finding the Third Proportional to 75 and 202.50

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Solution

The third proportional to 75 and 202.50 is: 546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 202.50 = 202.50 : x
  2. Step 2: Convert to fraction form
    75/202.50 = 202.50/x
  3. Step 3: Cross multiply
    75x = 202.50 × 202.50
  4. Step 4: Simplify right side
    75x = 41,006.25
  5. Step 5: Solve for x
    x = 41,006.25/75
  6. Step 6: Final answer
    x = 546.75

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.