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Finding the Third Proportional to 184,581 and 289,175

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Solution

The third proportional to 184,581 and 289,175 is: 453,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,581 : 289,175 = 289,175 : x
  2. Step 2: Convert to fraction form
    184,581/289,175 = 289,175/x
  3. Step 3: Cross multiply
    184,581x = 289,175 × 289,175
  4. Step 4: Simplify right side
    184,581x = 83,622,180,625
  5. Step 5: Solve for x
    x = 83,622,180,625/184,581
  6. Step 6: Final answer
    x = 453,037.86

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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.