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Finding the Third Proportional to 187,940 and 274,854

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Solution

The third proportional to 187,940 and 274,854 is: 401,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,940 : 274,854 = 274,854 : x
  2. Step 2: Convert to fraction form
    187,940/274,854 = 274,854/x
  3. Step 3: Cross multiply
    187,940x = 274,854 × 274,854
  4. Step 4: Simplify right side
    187,940x = 75,544,721,316
  5. Step 5: Solve for x
    x = 75,544,721,316/187,940
  6. Step 6: Final answer
    x = 401,961.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.