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Finding the Third Proportional to 248.93 and 466.07

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Solution

The third proportional to 248.93 and 466.07 is: 872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.93 : 466.07 = 466.07 : x
  2. Step 2: Convert to fraction form
    248.93/466.07 = 466.07/x
  3. Step 3: Cross multiply
    248.93x = 466.07 × 466.07
  4. Step 4: Simplify right side
    248.93x = 217,217.90
  5. Step 5: Solve for x
    x = 217,217.90/248.93
  6. Step 6: Final answer
    x = 872.60

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.