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Finding the Third Proportional to 165.88 and 360.58

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Solution

The third proportional to 165.88 and 360.58 is: 783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.88 : 360.58 = 360.58 : x
  2. Step 2: Convert to fraction form
    165.88/360.58 = 360.58/x
  3. Step 3: Cross multiply
    165.88x = 360.58 × 360.58
  4. Step 4: Simplify right side
    165.88x = 130,021.16
  5. Step 5: Solve for x
    x = 130,021.16/165.88
  6. Step 6: Final answer
    x = 783.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.