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Finding the Third Proportional to 184,282 and 387,132

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Solution

The third proportional to 184,282 and 387,132 is: 813,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,282 : 387,132 = 387,132 : x
  2. Step 2: Convert to fraction form
    184,282/387,132 = 387,132/x
  3. Step 3: Cross multiply
    184,282x = 387,132 × 387,132
  4. Step 4: Simplify right side
    184,282x = 149,871,185,424
  5. Step 5: Solve for x
    x = 149,871,185,424/184,282
  6. Step 6: Final answer
    x = 813,270.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.