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Finding the Third Proportional to 184,566 and 285,013

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Solution

The third proportional to 184,566 and 285,013 is: 440,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,566 : 285,013 = 285,013 : x
  2. Step 2: Convert to fraction form
    184,566/285,013 = 285,013/x
  3. Step 3: Cross multiply
    184,566x = 285,013 × 285,013
  4. Step 4: Simplify right side
    184,566x = 81,232,410,169
  5. Step 5: Solve for x
    x = 81,232,410,169/184,566
  6. Step 6: Final answer
    x = 440,126.62

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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.