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Finding the Third Proportional to 84,504.50 and 171,347.50

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Solution

The third proportional to 84,504.50 and 171,347.50 is: 347,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,504.50 : 171,347.50 = 171,347.50 : x
  2. Step 2: Convert to fraction form
    84,504.50/171,347.50 = 171,347.50/x
  3. Step 3: Cross multiply
    84,504.50x = 171,347.50 × 171,347.50
  4. Step 4: Simplify right side
    84,504.50x = 29,359,965,756.25
  5. Step 5: Solve for x
    x = 29,359,965,756.25/84,504.50
  6. Step 6: Final answer
    x = 347,436.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.