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Finding the Third Proportional to 161,544 and 352,463

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Solution

The third proportional to 161,544 and 352,463 is: 769,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,544 : 352,463 = 352,463 : x
  2. Step 2: Convert to fraction form
    161,544/352,463 = 352,463/x
  3. Step 3: Cross multiply
    161,544x = 352,463 × 352,463
  4. Step 4: Simplify right side
    161,544x = 124,230,166,369
  5. Step 5: Solve for x
    x = 124,230,166,369/161,544
  6. Step 6: Final answer
    x = 769,017.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.