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Finding the Third Proportional to 160 and 258.25

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Solution

The third proportional to 160 and 258.25 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160 : 258.25 = 258.25 : x
  2. Step 2: Convert to fraction form
    160/258.25 = 258.25/x
  3. Step 3: Cross multiply
    160x = 258.25 × 258.25
  4. Step 4: Simplify right side
    160x = 66,693.06
  5. Step 5: Solve for x
    x = 66,693.06/160
  6. Step 6: Final answer
    x = 416.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.