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Finding the Third Proportional to 201,754.50 and 442,692

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Solution

The third proportional to 201,754.50 and 442,692 is: 971,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,754.50 : 442,692 = 442,692 : x
  2. Step 2: Convert to fraction form
    201,754.50/442,692 = 442,692/x
  3. Step 3: Cross multiply
    201,754.50x = 442,692 × 442,692
  4. Step 4: Simplify right side
    201,754.50x = 195,976,206,864
  5. Step 5: Solve for x
    x = 195,976,206,864/201,754.50
  6. Step 6: Final answer
    x = 971,359.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.