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Finding the Third Proportional to 245.18 and 533.60

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Solution

The third proportional to 245.18 and 533.60 is: 1,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.18 : 533.60 = 533.60 : x
  2. Step 2: Convert to fraction form
    245.18/533.60 = 533.60/x
  3. Step 3: Cross multiply
    245.18x = 533.60 × 533.60
  4. Step 4: Simplify right side
    245.18x = 284,730.92
  5. Step 5: Solve for x
    x = 284,730.92/245.18
  6. Step 6: Final answer
    x = 1,161.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.