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Finding the Third Proportional to 184,680 and 286,524

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Solution

The third proportional to 184,680 and 286,524 is: 444,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,680 : 286,524 = 286,524 : x
  2. Step 2: Convert to fraction form
    184,680/286,524 = 286,524/x
  3. Step 3: Cross multiply
    184,680x = 286,524 × 286,524
  4. Step 4: Simplify right side
    184,680x = 82,096,002,576
  5. Step 5: Solve for x
    x = 82,096,002,576/184,680
  6. Step 6: Final answer
    x = 444,531.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.