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Finding the Third Proportional to 273.84 and 424.31

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Solution

The third proportional to 273.84 and 424.31 is: 657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.84 : 424.31 = 424.31 : x
  2. Step 2: Convert to fraction form
    273.84/424.31 = 424.31/x
  3. Step 3: Cross multiply
    273.84x = 424.31 × 424.31
  4. Step 4: Simplify right side
    273.84x = 180,041.10
  5. Step 5: Solve for x
    x = 180,041.10/273.84
  6. Step 6: Final answer
    x = 657.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.