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Finding the Third Proportional to 245.53 and 529.88

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Solution

The third proportional to 245.53 and 529.88 is: 1,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.53 : 529.88 = 529.88 : x
  2. Step 2: Convert to fraction form
    245.53/529.88 = 529.88/x
  3. Step 3: Cross multiply
    245.53x = 529.88 × 529.88
  4. Step 4: Simplify right side
    245.53x = 280,767.52
  5. Step 5: Solve for x
    x = 280,767.52/245.53
  6. Step 6: Final answer
    x = 1,143.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.