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Finding the Third Proportional to 145.69 and 313.73

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Solution

The third proportional to 145.69 and 313.73 is: 675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.69 : 313.73 = 313.73 : x
  2. Step 2: Convert to fraction form
    145.69/313.73 = 313.73/x
  3. Step 3: Cross multiply
    145.69x = 313.73 × 313.73
  4. Step 4: Simplify right side
    145.69x = 98,429.26
  5. Step 5: Solve for x
    x = 98,429.26/145.69
  6. Step 6: Final answer
    x = 675.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.