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Finding the Third Proportional to 169,473 and 368,457

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Solution

The third proportional to 169,473 and 368,457 is: 801,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,473 : 368,457 = 368,457 : x
  2. Step 2: Convert to fraction form
    169,473/368,457 = 368,457/x
  3. Step 3: Cross multiply
    169,473x = 368,457 × 368,457
  4. Step 4: Simplify right side
    169,473x = 135,760,560,849
  5. Step 5: Solve for x
    x = 135,760,560,849/169,473
  6. Step 6: Final answer
    x = 801,074.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.