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Finding the Third Proportional to 169,015 and 252,994

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Solution

The third proportional to 169,015 and 252,994 is: 378,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,015 : 252,994 = 252,994 : x
  2. Step 2: Convert to fraction form
    169,015/252,994 = 252,994/x
  3. Step 3: Cross multiply
    169,015x = 252,994 × 252,994
  4. Step 4: Simplify right side
    169,015x = 64,005,964,036
  5. Step 5: Solve for x
    x = 64,005,964,036/169,015
  6. Step 6: Final answer
    x = 378,699.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.