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Finding the Third Proportional to 184,860 and 285,441

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Solution

The third proportional to 184,860 and 285,441 is: 440,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,860 : 285,441 = 285,441 : x
  2. Step 2: Convert to fraction form
    184,860/285,441 = 285,441/x
  3. Step 3: Cross multiply
    184,860x = 285,441 × 285,441
  4. Step 4: Simplify right side
    184,860x = 81,476,564,481
  5. Step 5: Solve for x
    x = 81,476,564,481/184,860
  6. Step 6: Final answer
    x = 440,747.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.