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Finding the Third Proportional to 187,292.25 and 404,511.19

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Solution

The third proportional to 187,292.25 and 404,511.19 is: 873,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,292.25 : 404,511.19 = 404,511.19 : x
  2. Step 2: Convert to fraction form
    187,292.25/404,511.19 = 404,511.19/x
  3. Step 3: Cross multiply
    187,292.25x = 404,511.19 × 404,511.19
  4. Step 4: Simplify right side
    187,292.25x = 163,629,300,812.66
  5. Step 5: Solve for x
    x = 163,629,300,812.66/187,292.25
  6. Step 6: Final answer
    x = 873,657.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.