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Finding the Third Proportional to 169,463 and 352,961

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Solution

The third proportional to 169,463 and 352,961 is: 735,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,463 : 352,961 = 352,961 : x
  2. Step 2: Convert to fraction form
    169,463/352,961 = 352,961/x
  3. Step 3: Cross multiply
    169,463x = 352,961 × 352,961
  4. Step 4: Simplify right side
    169,463x = 124,581,467,521
  5. Step 5: Solve for x
    x = 124,581,467,521/169,463
  6. Step 6: Final answer
    x = 735,154.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.