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Finding the Third Proportional to 75.15 and 170.07

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Solution

The third proportional to 75.15 and 170.07 is: 384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.15 : 170.07 = 170.07 : x
  2. Step 2: Convert to fraction form
    75.15/170.07 = 170.07/x
  3. Step 3: Cross multiply
    75.15x = 170.07 × 170.07
  4. Step 4: Simplify right side
    75.15x = 28,923.25
  5. Step 5: Solve for x
    x = 28,923.25/75.15
  6. Step 6: Final answer
    x = 384.89

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.