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Finding the Third Proportional to 184,858 and 278,599

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Solution

The third proportional to 184,858 and 278,599 is: 419,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,858 : 278,599 = 278,599 : x
  2. Step 2: Convert to fraction form
    184,858/278,599 = 278,599/x
  3. Step 3: Cross multiply
    184,858x = 278,599 × 278,599
  4. Step 4: Simplify right side
    184,858x = 77,617,402,801
  5. Step 5: Solve for x
    x = 77,617,402,801/184,858
  6. Step 6: Final answer
    x = 419,875.81

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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.