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Finding the Third Proportional to 106,354 and 252,923

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Solution

The third proportional to 106,354 and 252,923 is: 601,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,354 : 252,923 = 252,923 : x
  2. Step 2: Convert to fraction form
    106,354/252,923 = 252,923/x
  3. Step 3: Cross multiply
    106,354x = 252,923 × 252,923
  4. Step 4: Simplify right side
    106,354x = 63,970,043,929
  5. Step 5: Solve for x
    x = 63,970,043,929/106,354
  6. Step 6: Final answer
    x = 601,482.26

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.