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Finding the Third Proportional to 65.95 and 169.10

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Solution

The third proportional to 65.95 and 169.10 is: 433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.95 : 169.10 = 169.10 : x
  2. Step 2: Convert to fraction form
    65.95/169.10 = 169.10/x
  3. Step 3: Cross multiply
    65.95x = 169.10 × 169.10
  4. Step 4: Simplify right side
    65.95x = 28,595.34
  5. Step 5: Solve for x
    x = 28,595.34/65.95
  6. Step 6: Final answer
    x = 433.57

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.