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Finding the Third Proportional to 152,177 and 236,555

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Solution

The third proportional to 152,177 and 236,555 is: 367,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,177 : 236,555 = 236,555 : x
  2. Step 2: Convert to fraction form
    152,177/236,555 = 236,555/x
  3. Step 3: Cross multiply
    152,177x = 236,555 × 236,555
  4. Step 4: Simplify right side
    152,177x = 55,958,268,025
  5. Step 5: Solve for x
    x = 55,958,268,025/152,177
  6. Step 6: Final answer
    x = 367,718.30

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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.