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Finding the Third Proportional to 164,636 and 250,506

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Solution

The third proportional to 164,636 and 250,506 is: 381,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,636 : 250,506 = 250,506 : x
  2. Step 2: Convert to fraction form
    164,636/250,506 = 250,506/x
  3. Step 3: Cross multiply
    164,636x = 250,506 × 250,506
  4. Step 4: Simplify right side
    164,636x = 62,753,256,036
  5. Step 5: Solve for x
    x = 62,753,256,036/164,636
  6. Step 6: Final answer
    x = 381,163.63

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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.