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Finding the Third Proportional to 70.13 and 184.69

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Solution

The third proportional to 70.13 and 184.69 is: 486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.13 : 184.69 = 184.69 : x
  2. Step 2: Convert to fraction form
    70.13/184.69 = 184.69/x
  3. Step 3: Cross multiply
    70.13x = 184.69 × 184.69
  4. Step 4: Simplify right side
    70.13x = 34,109.47
  5. Step 5: Solve for x
    x = 34,109.47/70.13
  6. Step 6: Final answer
    x = 486.41

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.