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Finding the Third Proportional to 153.14 and 319.25

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Solution

The third proportional to 153.14 and 319.25 is: 665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.14 : 319.25 = 319.25 : x
  2. Step 2: Convert to fraction form
    153.14/319.25 = 319.25/x
  3. Step 3: Cross multiply
    153.14x = 319.25 × 319.25
  4. Step 4: Simplify right side
    153.14x = 101,923.06
  5. Step 5: Solve for x
    x = 101,923.06/153.14
  6. Step 6: Final answer
    x = 665.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.