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Finding the Third Proportional to 273 and 532.25

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Solution

The third proportional to 273 and 532.25 is: 1,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273 : 532.25 = 532.25 : x
  2. Step 2: Convert to fraction form
    273/532.25 = 532.25/x
  3. Step 3: Cross multiply
    273x = 532.25 × 532.25
  4. Step 4: Simplify right side
    273x = 283,290.06
  5. Step 5: Solve for x
    x = 283,290.06/273
  6. Step 6: Final answer
    x = 1,037.69

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.