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Finding the Third Proportional to 64.50 and 140.25

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Solution

The third proportional to 64.50 and 140.25 is: 304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.50 : 140.25 = 140.25 : x
  2. Step 2: Convert to fraction form
    64.50/140.25 = 140.25/x
  3. Step 3: Cross multiply
    64.50x = 140.25 × 140.25
  4. Step 4: Simplify right side
    64.50x = 19,670.06
  5. Step 5: Solve for x
    x = 19,670.06/64.50
  6. Step 6: Final answer
    x = 304.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.