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Finding the Third Proportional to 170,947.38 and 371,996.25

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Solution

The third proportional to 170,947.38 and 371,996.25 is: 809,495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,947.38 : 371,996.25 = 371,996.25 : x
  2. Step 2: Convert to fraction form
    170,947.38/371,996.25 = 371,996.25/x
  3. Step 3: Cross multiply
    170,947.38x = 371,996.25 × 371,996.25
  4. Step 4: Simplify right side
    170,947.38x = 138,381,210,014.06
  5. Step 5: Solve for x
    x = 138,381,210,014.06/170,947.38
  6. Step 6: Final answer
    x = 809,495.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.