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Finding the Third Proportional to 181,493 and 374,639

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Solution

The third proportional to 181,493 and 374,639 is: 773,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,493 : 374,639 = 374,639 : x
  2. Step 2: Convert to fraction form
    181,493/374,639 = 374,639/x
  3. Step 3: Cross multiply
    181,493x = 374,639 × 374,639
  4. Step 4: Simplify right side
    181,493x = 140,354,380,321
  5. Step 5: Solve for x
    x = 140,354,380,321/181,493
  6. Step 6: Final answer
    x = 773,332.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.