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Finding the Third Proportional to 170,361 and 374,985

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Solution

The third proportional to 170,361 and 374,985 is: 825,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,361 : 374,985 = 374,985 : x
  2. Step 2: Convert to fraction form
    170,361/374,985 = 374,985/x
  3. Step 3: Cross multiply
    170,361x = 374,985 × 374,985
  4. Step 4: Simplify right side
    170,361x = 140,613,750,225
  5. Step 5: Solve for x
    x = 140,613,750,225/170,361
  6. Step 6: Final answer
    x = 825,386.97

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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.