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Finding the Third Proportional to 240.47 and 529.98

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Solution

The third proportional to 240.47 and 529.98 is: 1,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.47 : 529.98 = 529.98 : x
  2. Step 2: Convert to fraction form
    240.47/529.98 = 529.98/x
  3. Step 3: Cross multiply
    240.47x = 529.98 × 529.98
  4. Step 4: Simplify right side
    240.47x = 280,879.30
  5. Step 5: Solve for x
    x = 280,879.30/240.47
  6. Step 6: Final answer
    x = 1,168.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.