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Finding the Third Proportional to 184,832 and 293,808

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Solution

The third proportional to 184,832 and 293,808 is: 467,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,832 : 293,808 = 293,808 : x
  2. Step 2: Convert to fraction form
    184,832/293,808 = 293,808/x
  3. Step 3: Cross multiply
    184,832x = 293,808 × 293,808
  4. Step 4: Simplify right side
    184,832x = 86,323,140,864
  5. Step 5: Solve for x
    x = 86,323,140,864/184,832
  6. Step 6: Final answer
    x = 467,035.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.