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Finding the Third Proportional to 184,422 and 278,328

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Solution

The third proportional to 184,422 and 278,328 is: 420,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,422 : 278,328 = 278,328 : x
  2. Step 2: Convert to fraction form
    184,422/278,328 = 278,328/x
  3. Step 3: Cross multiply
    184,422x = 278,328 × 278,328
  4. Step 4: Simplify right side
    184,422x = 77,466,475,584
  5. Step 5: Solve for x
    x = 77,466,475,584/184,422
  6. Step 6: Final answer
    x = 420,050.08

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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.