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Finding the Third Proportional to 273.13 and 416.13

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Solution

The third proportional to 273.13 and 416.13 is: 634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.13 : 416.13 = 416.13 : x
  2. Step 2: Convert to fraction form
    273.13/416.13 = 416.13/x
  3. Step 3: Cross multiply
    273.13x = 416.13 × 416.13
  4. Step 4: Simplify right side
    273.13x = 173,160.02
  5. Step 5: Solve for x
    x = 173,160.02/273.13
  6. Step 6: Final answer
    x = 634.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.