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Finding the Third Proportional to 175,014 and 374,934

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Solution

The third proportional to 175,014 and 374,934 is: 803,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,014 : 374,934 = 374,934 : x
  2. Step 2: Convert to fraction form
    175,014/374,934 = 374,934/x
  3. Step 3: Cross multiply
    175,014x = 374,934 × 374,934
  4. Step 4: Simplify right side
    175,014x = 140,575,504,356
  5. Step 5: Solve for x
    x = 140,575,504,356/175,014
  6. Step 6: Final answer
    x = 803,224.34

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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.