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Finding the Third Proportional to 151,933 and 235,864

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Solution

The third proportional to 151,933 and 235,864 is: 366,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,933 : 235,864 = 235,864 : x
  2. Step 2: Convert to fraction form
    151,933/235,864 = 235,864/x
  3. Step 3: Cross multiply
    151,933x = 235,864 × 235,864
  4. Step 4: Simplify right side
    151,933x = 55,631,826,496
  5. Step 5: Solve for x
    x = 55,631,826,496/151,933
  6. Step 6: Final answer
    x = 366,160.26

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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.