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Finding the Third Proportional to 88.59 and 193.64

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Solution

The third proportional to 88.59 and 193.64 is: 423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.59 : 193.64 = 193.64 : x
  2. Step 2: Convert to fraction form
    88.59/193.64 = 193.64/x
  3. Step 3: Cross multiply
    88.59x = 193.64 × 193.64
  4. Step 4: Simplify right side
    88.59x = 37,496.69
  5. Step 5: Solve for x
    x = 37,496.69/88.59
  6. Step 6: Final answer
    x = 423.24

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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.