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Finding the Third Proportional to 184,896 and 398,292

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Solution

The third proportional to 184,896 and 398,292 is: 857,977.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,896 : 398,292 = 398,292 : x
  2. Step 2: Convert to fraction form
    184,896/398,292 = 398,292/x
  3. Step 3: Cross multiply
    184,896x = 398,292 × 398,292
  4. Step 4: Simplify right side
    184,896x = 158,636,517,264
  5. Step 5: Solve for x
    x = 158,636,517,264/184,896
  6. Step 6: Final answer
    x = 857,977.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.