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Finding the Third Proportional to 202,687.31 and 469,167.19

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Solution

The third proportional to 202,687.31 and 469,167.19 is: 1,085,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,687.31 : 469,167.19 = 469,167.19 : x
  2. Step 2: Convert to fraction form
    202,687.31/469,167.19 = 469,167.19/x
  3. Step 3: Cross multiply
    202,687.31x = 469,167.19 × 469,167.19
  4. Step 4: Simplify right side
    202,687.31x = 220,117,849,826.66
  5. Step 5: Solve for x
    x = 220,117,849,826.66/202,687.31
  6. Step 6: Final answer
    x = 1,085,997.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.