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Finding the Third Proportional to 184,564 and 285,011

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Solution

The third proportional to 184,564 and 285,011 is: 440,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,564 : 285,011 = 285,011 : x
  2. Step 2: Convert to fraction form
    184,564/285,011 = 285,011/x
  3. Step 3: Cross multiply
    184,564x = 285,011 × 285,011
  4. Step 4: Simplify right side
    184,564x = 81,231,270,121
  5. Step 5: Solve for x
    x = 81,231,270,121/184,564
  6. Step 6: Final answer
    x = 440,125.21

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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.