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Finding the Third Proportional to 137,644.50 and 203,908

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Solution

The third proportional to 137,644.50 and 203,908 is: 302,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,644.50 : 203,908 = 203,908 : x
  2. Step 2: Convert to fraction form
    137,644.50/203,908 = 203,908/x
  3. Step 3: Cross multiply
    137,644.50x = 203,908 × 203,908
  4. Step 4: Simplify right side
    137,644.50x = 41,578,472,464
  5. Step 5: Solve for x
    x = 41,578,472,464/137,644.50
  6. Step 6: Final answer
    x = 302,071.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.