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Finding the Third Proportional to 145.23 and 313.24

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Solution

The third proportional to 145.23 and 313.24 is: 675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.23 : 313.24 = 313.24 : x
  2. Step 2: Convert to fraction form
    145.23/313.24 = 313.24/x
  3. Step 3: Cross multiply
    145.23x = 313.24 × 313.24
  4. Step 4: Simplify right side
    145.23x = 98,120.67
  5. Step 5: Solve for x
    x = 98,120.67/145.23
  6. Step 6: Final answer
    x = 675.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.