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Finding the Third Proportional to 164,902.50 and 246,378.75

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Solution

The third proportional to 164,902.50 and 246,378.75 is: 368,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,902.50 : 246,378.75 = 246,378.75 : x
  2. Step 2: Convert to fraction form
    164,902.50/246,378.75 = 246,378.75/x
  3. Step 3: Cross multiply
    164,902.50x = 246,378.75 × 246,378.75
  4. Step 4: Simplify right side
    164,902.50x = 60,702,488,451.56
  5. Step 5: Solve for x
    x = 60,702,488,451.56/164,902.50
  6. Step 6: Final answer
    x = 368,111.39

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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.