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Finding the Third Proportional to 164,187 and 246,452.63

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Solution

The third proportional to 164,187 and 246,452.63 is: 369,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,187 : 246,452.63 = 246,452.63 : x
  2. Step 2: Convert to fraction form
    164,187/246,452.63 = 246,452.63/x
  3. Step 3: Cross multiply
    164,187x = 246,452.63 × 246,452.63
  4. Step 4: Simplify right side
    164,187x = 60,738,896,369.39
  5. Step 5: Solve for x
    x = 60,738,896,369.39/164,187
  6. Step 6: Final answer
    x = 369,937.31

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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.