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Finding the Third Proportional to 88.31 and 176.06

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Solution

The third proportional to 88.31 and 176.06 is: 351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.31 : 176.06 = 176.06 : x
  2. Step 2: Convert to fraction form
    88.31/176.06 = 176.06/x
  3. Step 3: Cross multiply
    88.31x = 176.06 × 176.06
  4. Step 4: Simplify right side
    88.31x = 30,998.00
  5. Step 5: Solve for x
    x = 30,998.00/88.31
  6. Step 6: Final answer
    x = 351.00

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.