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Finding the Third Proportional to 145.13 and 340.69

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Solution

The third proportional to 145.13 and 340.69 is: 799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 340.69 = 340.69 : x
  2. Step 2: Convert to fraction form
    145.13/340.69 = 340.69/x
  3. Step 3: Cross multiply
    145.13x = 340.69 × 340.69
  4. Step 4: Simplify right side
    145.13x = 116,067.97
  5. Step 5: Solve for x
    x = 116,067.97/145.13
  6. Step 6: Final answer
    x = 799.78

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.