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Finding the Third Proportional to 137,453 and 212,831

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Solution

The third proportional to 137,453 and 212,831 is: 329,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,453 : 212,831 = 212,831 : x
  2. Step 2: Convert to fraction form
    137,453/212,831 = 212,831/x
  3. Step 3: Cross multiply
    137,453x = 212,831 × 212,831
  4. Step 4: Simplify right side
    137,453x = 45,297,034,561
  5. Step 5: Solve for x
    x = 45,297,034,561/137,453
  6. Step 6: Final answer
    x = 329,545.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.