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Finding the Third Proportional to 240,704 and 374,214

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Solution

The third proportional to 240,704 and 374,214 is: 581,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,704 : 374,214 = 374,214 : x
  2. Step 2: Convert to fraction form
    240,704/374,214 = 374,214/x
  3. Step 3: Cross multiply
    240,704x = 374,214 × 374,214
  4. Step 4: Simplify right side
    240,704x = 140,036,117,796
  5. Step 5: Solve for x
    x = 140,036,117,796/240,704
  6. Step 6: Final answer
    x = 581,777.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.