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Finding the Third Proportional to 165.50 and 358.75

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Solution

The third proportional to 165.50 and 358.75 is: 777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.50 : 358.75 = 358.75 : x
  2. Step 2: Convert to fraction form
    165.50/358.75 = 358.75/x
  3. Step 3: Cross multiply
    165.50x = 358.75 × 358.75
  4. Step 4: Simplify right side
    165.50x = 128,701.56
  5. Step 5: Solve for x
    x = 128,701.56/165.50
  6. Step 6: Final answer
    x = 777.65

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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.