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Finding the Third Proportional to 240.86 and 498.81

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Solution

The third proportional to 240.86 and 498.81 is: 1,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.86 : 498.81 = 498.81 : x
  2. Step 2: Convert to fraction form
    240.86/498.81 = 498.81/x
  3. Step 3: Cross multiply
    240.86x = 498.81 × 498.81
  4. Step 4: Simplify right side
    240.86x = 248,815.86
  5. Step 5: Solve for x
    x = 248,815.86/240.86
  6. Step 6: Final answer
    x = 1,033.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.