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Finding the Third Proportional to 169,481 and 368,453

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Solution

The third proportional to 169,481 and 368,453 is: 801,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,481 : 368,453 = 368,453 : x
  2. Step 2: Convert to fraction form
    169,481/368,453 = 368,453/x
  3. Step 3: Cross multiply
    169,481x = 368,453 × 368,453
  4. Step 4: Simplify right side
    169,481x = 135,757,613,209
  5. Step 5: Solve for x
    x = 135,757,613,209/169,481
  6. Step 6: Final answer
    x = 801,019.66

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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.