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Finding the Third Proportional to 184,564 and 285,010

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Solution

The third proportional to 184,564 and 285,010 is: 440,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,564 : 285,010 = 285,010 : x
  2. Step 2: Convert to fraction form
    184,564/285,010 = 285,010/x
  3. Step 3: Cross multiply
    184,564x = 285,010 × 285,010
  4. Step 4: Simplify right side
    184,564x = 81,230,700,100
  5. Step 5: Solve for x
    x = 81,230,700,100/184,564
  6. Step 6: Final answer
    x = 440,122.13

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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.