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Finding the Third Proportional to 174,678 and 374,259

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Solution

The third proportional to 174,678 and 374,259 is: 801,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,678 : 374,259 = 374,259 : x
  2. Step 2: Convert to fraction form
    174,678/374,259 = 374,259/x
  3. Step 3: Cross multiply
    174,678x = 374,259 × 374,259
  4. Step 4: Simplify right side
    174,678x = 140,069,799,081
  5. Step 5: Solve for x
    x = 140,069,799,081/174,678
  6. Step 6: Final answer
    x = 801,874.30

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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.