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Finding the Third Proportional to 75,175 and 165,230

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Solution

The third proportional to 75,175 and 165,230 is: 363,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,175 : 165,230 = 165,230 : x
  2. Step 2: Convert to fraction form
    75,175/165,230 = 165,230/x
  3. Step 3: Cross multiply
    75,175x = 165,230 × 165,230
  4. Step 4: Simplify right side
    75,175x = 27,300,952,900
  5. Step 5: Solve for x
    x = 27,300,952,900/75,175
  6. Step 6: Final answer
    x = 363,165.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.