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Finding the Third Proportional to 248.70 and 373.04

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Solution

The third proportional to 248.70 and 373.04 is: 559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.70 : 373.04 = 373.04 : x
  2. Step 2: Convert to fraction form
    248.70/373.04 = 373.04/x
  3. Step 3: Cross multiply
    248.70x = 373.04 × 373.04
  4. Step 4: Simplify right side
    248.70x = 139,161.06
  5. Step 5: Solve for x
    x = 139,161.06/248.70
  6. Step 6: Final answer
    x = 559.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.