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Finding the Third Proportional to 171,936 and 366,010.50

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Solution

The third proportional to 171,936 and 366,010.50 is: 779,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,936 : 366,010.50 = 366,010.50 : x
  2. Step 2: Convert to fraction form
    171,936/366,010.50 = 366,010.50/x
  3. Step 3: Cross multiply
    171,936x = 366,010.50 × 366,010.50
  4. Step 4: Simplify right side
    171,936x = 133,963,686,110.25
  5. Step 5: Solve for x
    x = 133,963,686,110.25/171,936
  6. Step 6: Final answer
    x = 779,148.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.