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Finding the Third Proportional to 64.88 and 176.25

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Solution

The third proportional to 64.88 and 176.25 is: 478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.88 : 176.25 = 176.25 : x
  2. Step 2: Convert to fraction form
    64.88/176.25 = 176.25/x
  3. Step 3: Cross multiply
    64.88x = 176.25 × 176.25
  4. Step 4: Simplify right side
    64.88x = 31,064.06
  5. Step 5: Solve for x
    x = 31,064.06/64.88
  6. Step 6: Final answer
    x = 478.83

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.