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Finding the Third Proportional to 150,314 and 237,842

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Solution

The third proportional to 150,314 and 237,842 is: 376,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,314 : 237,842 = 237,842 : x
  2. Step 2: Convert to fraction form
    150,314/237,842 = 237,842/x
  3. Step 3: Cross multiply
    150,314x = 237,842 × 237,842
  4. Step 4: Simplify right side
    150,314x = 56,568,816,964
  5. Step 5: Solve for x
    x = 56,568,816,964/150,314
  6. Step 6: Final answer
    x = 376,337.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.