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Finding the Third Proportional to 151,568 and 237,764

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Solution

The third proportional to 151,568 and 237,764 is: 372,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,568 : 237,764 = 237,764 : x
  2. Step 2: Convert to fraction form
    151,568/237,764 = 237,764/x
  3. Step 3: Cross multiply
    151,568x = 237,764 × 237,764
  4. Step 4: Simplify right side
    151,568x = 56,531,719,696
  5. Step 5: Solve for x
    x = 56,531,719,696/151,568
  6. Step 6: Final answer
    x = 372,979.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.