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Finding the Third Proportional to 243,615 and 374,934

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Solution

The third proportional to 243,615 and 374,934 is: 577,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,615 : 374,934 = 374,934 : x
  2. Step 2: Convert to fraction form
    243,615/374,934 = 374,934/x
  3. Step 3: Cross multiply
    243,615x = 374,934 × 374,934
  4. Step 4: Simplify right side
    243,615x = 140,575,504,356
  5. Step 5: Solve for x
    x = 140,575,504,356/243,615
  6. Step 6: Final answer
    x = 577,039.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.