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Finding the Third Proportional to 83,830.50 and 176,976

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Solution

The third proportional to 83,830.50 and 176,976 is: 373,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,830.50 : 176,976 = 176,976 : x
  2. Step 2: Convert to fraction form
    83,830.50/176,976 = 176,976/x
  3. Step 3: Cross multiply
    83,830.50x = 176,976 × 176,976
  4. Step 4: Simplify right side
    83,830.50x = 31,320,504,576
  5. Step 5: Solve for x
    x = 31,320,504,576/83,830.50
  6. Step 6: Final answer
    x = 373,617.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.