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Finding the Third Proportional to 97.59 and 210.66

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Solution

The third proportional to 97.59 and 210.66 is: 454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.59 : 210.66 = 210.66 : x
  2. Step 2: Convert to fraction form
    97.59/210.66 = 210.66/x
  3. Step 3: Cross multiply
    97.59x = 210.66 × 210.66
  4. Step 4: Simplify right side
    97.59x = 44,376.06
  5. Step 5: Solve for x
    x = 44,376.06/97.59
  6. Step 6: Final answer
    x = 454.70

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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.