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Finding the Third Proportional to 253.50 and 529.88

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Solution

The third proportional to 253.50 and 529.88 is: 1,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.50 : 529.88 = 529.88 : x
  2. Step 2: Convert to fraction form
    253.50/529.88 = 529.88/x
  3. Step 3: Cross multiply
    253.50x = 529.88 × 529.88
  4. Step 4: Simplify right side
    253.50x = 280,767.52
  5. Step 5: Solve for x
    x = 280,767.52/253.50
  6. Step 6: Final answer
    x = 1,107.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.