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Finding the Third Proportional to 151,233.75 and 232,138

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Solution

The third proportional to 151,233.75 and 232,138 is: 356,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,233.75 : 232,138 = 232,138 : x
  2. Step 2: Convert to fraction form
    151,233.75/232,138 = 232,138/x
  3. Step 3: Cross multiply
    151,233.75x = 232,138 × 232,138
  4. Step 4: Simplify right side
    151,233.75x = 53,888,051,044
  5. Step 5: Solve for x
    x = 53,888,051,044/151,233.75
  6. Step 6: Final answer
    x = 356,322.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.