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Finding the Third Proportional to 98.35 and 215.68

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Solution

The third proportional to 98.35 and 215.68 is: 473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.35 : 215.68 = 215.68 : x
  2. Step 2: Convert to fraction form
    98.35/215.68 = 215.68/x
  3. Step 3: Cross multiply
    98.35x = 215.68 × 215.68
  4. Step 4: Simplify right side
    98.35x = 46,519.41
  5. Step 5: Solve for x
    x = 46,519.41/98.35
  6. Step 6: Final answer
    x = 473.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.