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Finding the Third Proportional to 169,463 and 368,437

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Solution

The third proportional to 169,463 and 368,437 is: 801,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,463 : 368,437 = 368,437 : x
  2. Step 2: Convert to fraction form
    169,463/368,437 = 368,437/x
  3. Step 3: Cross multiply
    169,463x = 368,437 × 368,437
  4. Step 4: Simplify right side
    169,463x = 135,745,822,969
  5. Step 5: Solve for x
    x = 135,745,822,969/169,463
  6. Step 6: Final answer
    x = 801,035.17

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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.