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Finding the Third Proportional to 149,844 and 210,782

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Solution

The third proportional to 149,844 and 210,782 is: 296,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,844 : 210,782 = 210,782 : x
  2. Step 2: Convert to fraction form
    149,844/210,782 = 210,782/x
  3. Step 3: Cross multiply
    149,844x = 210,782 × 210,782
  4. Step 4: Simplify right side
    149,844x = 44,429,051,524
  5. Step 5: Solve for x
    x = 44,429,051,524/149,844
  6. Step 6: Final answer
    x = 296,502.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.