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Finding the Third Proportional to 150,024 and 232,236

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Solution

The third proportional to 150,024 and 232,236 is: 359,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,024 : 232,236 = 232,236 : x
  2. Step 2: Convert to fraction form
    150,024/232,236 = 232,236/x
  3. Step 3: Cross multiply
    150,024x = 232,236 × 232,236
  4. Step 4: Simplify right side
    150,024x = 53,933,559,696
  5. Step 5: Solve for x
    x = 53,933,559,696/150,024
  6. Step 6: Final answer
    x = 359,499.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.