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Finding the Third Proportional to 169,767.75 and 359,772.50

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Solution

The third proportional to 169,767.75 and 359,772.50 is: 762,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,767.75 : 359,772.50 = 359,772.50 : x
  2. Step 2: Convert to fraction form
    169,767.75/359,772.50 = 359,772.50/x
  3. Step 3: Cross multiply
    169,767.75x = 359,772.50 × 359,772.50
  4. Step 4: Simplify right side
    169,767.75x = 129,436,251,756.25
  5. Step 5: Solve for x
    x = 129,436,251,756.25/169,767.75
  6. Step 6: Final answer
    x = 762,431.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.