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Finding the Third Proportional to 149,715 and 218,731

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Solution

The third proportional to 149,715 and 218,731 is: 319,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,715 : 218,731 = 218,731 : x
  2. Step 2: Convert to fraction form
    149,715/218,731 = 218,731/x
  3. Step 3: Cross multiply
    149,715x = 218,731 × 218,731
  4. Step 4: Simplify right side
    149,715x = 47,843,250,361
  5. Step 5: Solve for x
    x = 47,843,250,361/149,715
  6. Step 6: Final answer
    x = 319,562.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.