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Finding the Third Proportional to 232,230.38 and 503,105.63

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Solution

The third proportional to 232,230.38 and 503,105.63 is: 1,089,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,230.38 : 503,105.63 = 503,105.63 : x
  2. Step 2: Convert to fraction form
    232,230.38/503,105.63 = 503,105.63/x
  3. Step 3: Cross multiply
    232,230.38x = 503,105.63 × 503,105.63
  4. Step 4: Simplify right side
    232,230.38x = 253,115,269,906.64
  5. Step 5: Solve for x
    x = 253,115,269,906.64/232,230.38
  6. Step 6: Final answer
    x = 1,089,931.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.