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Finding the Third Proportional to 184,194 and 291,114

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Solution

The third proportional to 184,194 and 291,114 is: 460,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,194 : 291,114 = 291,114 : x
  2. Step 2: Convert to fraction form
    184,194/291,114 = 291,114/x
  3. Step 3: Cross multiply
    184,194x = 291,114 × 291,114
  4. Step 4: Simplify right side
    184,194x = 84,747,360,996
  5. Step 5: Solve for x
    x = 84,747,360,996/184,194
  6. Step 6: Final answer
    x = 460,098.38

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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.