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Finding the Third Proportional to 149,988.38 and 210,947.63

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Solution

The third proportional to 149,988.38 and 210,947.63 is: 296,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,988.38 : 210,947.63 = 210,947.63 : x
  2. Step 2: Convert to fraction form
    149,988.38/210,947.63 = 210,947.63/x
  3. Step 3: Cross multiply
    149,988.38x = 210,947.63 × 210,947.63
  4. Step 4: Simplify right side
    149,988.38x = 44,498,900,493.14
  5. Step 5: Solve for x
    x = 44,498,900,493.14/149,988.38
  6. Step 6: Final answer
    x = 296,682.33

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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.