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Finding the Third Proportional to 137,646 and 303,229.50

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Solution

The third proportional to 137,646 and 303,229.50 is: 668,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,646 : 303,229.50 = 303,229.50 : x
  2. Step 2: Convert to fraction form
    137,646/303,229.50 = 303,229.50/x
  3. Step 3: Cross multiply
    137,646x = 303,229.50 × 303,229.50
  4. Step 4: Simplify right side
    137,646x = 91,948,129,670.25
  5. Step 5: Solve for x
    x = 91,948,129,670.25/137,646
  6. Step 6: Final answer
    x = 668,004.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.