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Finding the Third Proportional to 165.66 and 314.02

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Solution

The third proportional to 165.66 and 314.02 is: 595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.66 : 314.02 = 314.02 : x
  2. Step 2: Convert to fraction form
    165.66/314.02 = 314.02/x
  3. Step 3: Cross multiply
    165.66x = 314.02 × 314.02
  4. Step 4: Simplify right side
    165.66x = 98,605.81
  5. Step 5: Solve for x
    x = 98,605.81/165.66
  6. Step 6: Final answer
    x = 595.24

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.