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Finding the Third Proportional to 184,233 and 291,726

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Solution

The third proportional to 184,233 and 291,726 is: 461,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,233 : 291,726 = 291,726 : x
  2. Step 2: Convert to fraction form
    184,233/291,726 = 291,726/x
  3. Step 3: Cross multiply
    184,233x = 291,726 × 291,726
  4. Step 4: Simplify right side
    184,233x = 85,104,059,076
  5. Step 5: Solve for x
    x = 85,104,059,076/184,233
  6. Step 6: Final answer
    x = 461,937.11

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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.