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Finding the Third Proportional to 193,881.38 and 291,027

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Solution

The third proportional to 193,881.38 and 291,027 is: 436,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,881.38 : 291,027 = 291,027 : x
  2. Step 2: Convert to fraction form
    193,881.38/291,027 = 291,027/x
  3. Step 3: Cross multiply
    193,881.38x = 291,027 × 291,027
  4. Step 4: Simplify right side
    193,881.38x = 84,696,714,729
  5. Step 5: Solve for x
    x = 84,696,714,729/193,881.38
  6. Step 6: Final answer
    x = 436,848.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.