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Finding the Third Proportional to 164,325 and 253,733

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Solution

The third proportional to 164,325 and 253,733 is: 391,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,325 : 253,733 = 253,733 : x
  2. Step 2: Convert to fraction form
    164,325/253,733 = 253,733/x
  3. Step 3: Cross multiply
    164,325x = 253,733 × 253,733
  4. Step 4: Simplify right side
    164,325x = 64,380,435,289
  5. Step 5: Solve for x
    x = 64,380,435,289/164,325
  6. Step 6: Final answer
    x = 391,787.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.