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Finding the Third Proportional to 137,226.38 and 214,139.25

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Solution

The third proportional to 137,226.38 and 214,139.25 is: 334,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,226.38 : 214,139.25 = 214,139.25 : x
  2. Step 2: Convert to fraction form
    137,226.38/214,139.25 = 214,139.25/x
  3. Step 3: Cross multiply
    137,226.38x = 214,139.25 × 214,139.25
  4. Step 4: Simplify right side
    137,226.38x = 45,855,618,390.56
  5. Step 5: Solve for x
    x = 45,855,618,390.56/137,226.38
  6. Step 6: Final answer
    x = 334,160.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.