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Finding the Third Proportional to 184,539 and 289,110

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Solution

The third proportional to 184,539 and 289,110 is: 452,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,539 : 289,110 = 289,110 : x
  2. Step 2: Convert to fraction form
    184,539/289,110 = 289,110/x
  3. Step 3: Cross multiply
    184,539x = 289,110 × 289,110
  4. Step 4: Simplify right side
    184,539x = 83,584,592,100
  5. Step 5: Solve for x
    x = 83,584,592,100/184,539
  6. Step 6: Final answer
    x = 452,937.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.