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Finding the Third Proportional to 79,475 and 181,190

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Solution

The third proportional to 79,475 and 181,190 is: 413,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,475 : 181,190 = 181,190 : x
  2. Step 2: Convert to fraction form
    79,475/181,190 = 181,190/x
  3. Step 3: Cross multiply
    79,475x = 181,190 × 181,190
  4. Step 4: Simplify right side
    79,475x = 32,829,816,100
  5. Step 5: Solve for x
    x = 32,829,816,100/79,475
  6. Step 6: Final answer
    x = 413,083.56

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.