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Finding the Third Proportional to 174,666 and 374,233

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Solution

The third proportional to 174,666 and 374,233 is: 801,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,666 : 374,233 = 374,233 : x
  2. Step 2: Convert to fraction form
    174,666/374,233 = 374,233/x
  3. Step 3: Cross multiply
    174,666x = 374,233 × 374,233
  4. Step 4: Simplify right side
    174,666x = 140,050,338,289
  5. Step 5: Solve for x
    x = 140,050,338,289/174,666
  6. Step 6: Final answer
    x = 801,817.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.