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Finding the Third Proportional to 243.33 and 527.95

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Solution

The third proportional to 243.33 and 527.95 is: 1,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.33 : 527.95 = 527.95 : x
  2. Step 2: Convert to fraction form
    243.33/527.95 = 527.95/x
  3. Step 3: Cross multiply
    243.33x = 527.95 × 527.95
  4. Step 4: Simplify right side
    243.33x = 278,734.50
  5. Step 5: Solve for x
    x = 278,734.50/243.33
  6. Step 6: Final answer
    x = 1,145.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.