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Finding the Third Proportional to 244.90 and 498.34

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Solution

The third proportional to 244.90 and 498.34 is: 1,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.90 : 498.34 = 498.34 : x
  2. Step 2: Convert to fraction form
    244.90/498.34 = 498.34/x
  3. Step 3: Cross multiply
    244.90x = 498.34 × 498.34
  4. Step 4: Simplify right side
    244.90x = 248,342.60
  5. Step 5: Solve for x
    x = 248,342.60/244.90
  6. Step 6: Final answer
    x = 1,014.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.