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Finding the Third Proportional to 169,674.75 and 252,051.75

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Solution

The third proportional to 169,674.75 and 252,051.75 is: 374,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,674.75 : 252,051.75 = 252,051.75 : x
  2. Step 2: Convert to fraction form
    169,674.75/252,051.75 = 252,051.75/x
  3. Step 3: Cross multiply
    169,674.75x = 252,051.75 × 252,051.75
  4. Step 4: Simplify right side
    169,674.75x = 63,530,084,678.06
  5. Step 5: Solve for x
    x = 63,530,084,678.06/169,674.75
  6. Step 6: Final answer
    x = 374,422.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.