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Finding the Third Proportional to 184.78 and 403.73

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Solution

The third proportional to 184.78 and 403.73 is: 882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.78 : 403.73 = 403.73 : x
  2. Step 2: Convert to fraction form
    184.78/403.73 = 403.73/x
  3. Step 3: Cross multiply
    184.78x = 403.73 × 403.73
  4. Step 4: Simplify right side
    184.78x = 163,001.45
  5. Step 5: Solve for x
    x = 163,001.45/184.78
  6. Step 6: Final answer
    x = 882.13

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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.