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Finding the Third Proportional to 165.80 and 313.03

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Solution

The third proportional to 165.80 and 313.03 is: 591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 313.03 = 313.03 : x
  2. Step 2: Convert to fraction form
    165.80/313.03 = 313.03/x
  3. Step 3: Cross multiply
    165.80x = 313.03 × 313.03
  4. Step 4: Simplify right side
    165.80x = 97,988.56
  5. Step 5: Solve for x
    x = 97,988.56/165.80
  6. Step 6: Final answer
    x = 591.02

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.