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Finding the Third Proportional to 184.97 and 402.84

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Solution

The third proportional to 184.97 and 402.84 is: 877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.97 : 402.84 = 402.84 : x
  2. Step 2: Convert to fraction form
    184.97/402.84 = 402.84/x
  3. Step 3: Cross multiply
    184.97x = 402.84 × 402.84
  4. Step 4: Simplify right side
    184.97x = 162,283.09
  5. Step 5: Solve for x
    x = 162,283.09/184.97
  6. Step 6: Final answer
    x = 877.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.