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Finding the Third Proportional to 164,439 and 245,997.50

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Solution

The third proportional to 164,439 and 245,997.50 is: 368,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,439 : 245,997.50 = 245,997.50 : x
  2. Step 2: Convert to fraction form
    164,439/245,997.50 = 245,997.50/x
  3. Step 3: Cross multiply
    164,439x = 245,997.50 × 245,997.50
  4. Step 4: Simplify right side
    164,439x = 60,514,770,006.25
  5. Step 5: Solve for x
    x = 60,514,770,006.25/164,439
  6. Step 6: Final answer
    x = 368,007.41

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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.