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Finding the Third Proportional to 184,138.50 and 291,118.50

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Solution

The third proportional to 184,138.50 and 291,118.50 is: 460,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,138.50 : 291,118.50 = 291,118.50 : x
  2. Step 2: Convert to fraction form
    184,138.50/291,118.50 = 291,118.50/x
  3. Step 3: Cross multiply
    184,138.50x = 291,118.50 × 291,118.50
  4. Step 4: Simplify right side
    184,138.50x = 84,749,981,042.25
  5. Step 5: Solve for x
    x = 84,749,981,042.25/184,138.50
  6. Step 6: Final answer
    x = 460,251.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.