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Finding the Third Proportional to 164,340 and 253,767

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Solution

The third proportional to 164,340 and 253,767 is: 391,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,340 : 253,767 = 253,767 : x
  2. Step 2: Convert to fraction form
    164,340/253,767 = 253,767/x
  3. Step 3: Cross multiply
    164,340x = 253,767 × 253,767
  4. Step 4: Simplify right side
    164,340x = 64,397,690,289
  5. Step 5: Solve for x
    x = 64,397,690,289/164,340
  6. Step 6: Final answer
    x = 391,856.46

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Why These Related Problems?

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