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Finding the Third Proportional to 164,634 and 250,503

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Solution

The third proportional to 164,634 and 250,503 is: 381,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,634 : 250,503 = 250,503 : x
  2. Step 2: Convert to fraction form
    164,634/250,503 = 250,503/x
  3. Step 3: Cross multiply
    164,634x = 250,503 × 250,503
  4. Step 4: Simplify right side
    164,634x = 62,751,753,009
  5. Step 5: Solve for x
    x = 62,751,753,009/164,634
  6. Step 6: Final answer
    x = 381,159.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.