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Finding the Third Proportional to 230.98 and 500.40

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Solution

The third proportional to 230.98 and 500.40 is: 1,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.98 : 500.40 = 500.40 : x
  2. Step 2: Convert to fraction form
    230.98/500.40 = 500.40/x
  3. Step 3: Cross multiply
    230.98x = 500.40 × 500.40
  4. Step 4: Simplify right side
    230.98x = 250,396.64
  5. Step 5: Solve for x
    x = 250,396.64/230.98
  6. Step 6: Final answer
    x = 1,084.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.