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Finding the Third Proportional to 184,396 and 278,291

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Solution

The third proportional to 184,396 and 278,291 is: 419,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,396 : 278,291 = 278,291 : x
  2. Step 2: Convert to fraction form
    184,396/278,291 = 278,291/x
  3. Step 3: Cross multiply
    184,396x = 278,291 × 278,291
  4. Step 4: Simplify right side
    184,396x = 77,445,880,681
  5. Step 5: Solve for x
    x = 77,445,880,681/184,396
  6. Step 6: Final answer
    x = 419,997.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.