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Finding the Third Proportional to 169,224.75 and 253,869.75

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Solution

The third proportional to 169,224.75 and 253,869.75 is: 380,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,224.75 : 253,869.75 = 253,869.75 : x
  2. Step 2: Convert to fraction form
    169,224.75/253,869.75 = 253,869.75/x
  3. Step 3: Cross multiply
    169,224.75x = 253,869.75 × 253,869.75
  4. Step 4: Simplify right side
    169,224.75x = 64,449,849,965.06
  5. Step 5: Solve for x
    x = 64,449,849,965.06/169,224.75
  6. Step 6: Final answer
    x = 380,853.57

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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.