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Finding the Third Proportional to 169,143.75 and 368,063.72

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Solution

The third proportional to 169,143.75 and 368,063.72 is: 800,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,143.75 : 368,063.72 = 368,063.72 : x
  2. Step 2: Convert to fraction form
    169,143.75/368,063.72 = 368,063.72/x
  3. Step 3: Cross multiply
    169,143.75x = 368,063.72 × 368,063.72
  4. Step 4: Simplify right side
    169,143.75x = 135,470,901,060.08
  5. Step 5: Solve for x
    x = 135,470,901,060.08/169,143.75
  6. Step 6: Final answer
    x = 800,921.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.