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Finding the Third Proportional to 187,232 and 264,930

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Solution

The third proportional to 187,232 and 264,930 is: 374,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,232 : 264,930 = 264,930 : x
  2. Step 2: Convert to fraction form
    187,232/264,930 = 264,930/x
  3. Step 3: Cross multiply
    187,232x = 264,930 × 264,930
  4. Step 4: Simplify right side
    187,232x = 70,187,904,900
  5. Step 5: Solve for x
    x = 70,187,904,900/187,232
  6. Step 6: Final answer
    x = 374,871.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.