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Finding the Third Proportional to 184.57 and 402.05

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Solution

The third proportional to 184.57 and 402.05 is: 875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.57 : 402.05 = 402.05 : x
  2. Step 2: Convert to fraction form
    184.57/402.05 = 402.05/x
  3. Step 3: Cross multiply
    184.57x = 402.05 × 402.05
  4. Step 4: Simplify right side
    184.57x = 161,641.69
  5. Step 5: Solve for x
    x = 161,641.69/184.57
  6. Step 6: Final answer
    x = 875.77

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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.