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Finding the Third Proportional to 186,802.25 and 386,896.75

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Solution

The third proportional to 186,802.25 and 386,896.75 is: 801,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,802.25 : 386,896.75 = 386,896.75 : x
  2. Step 2: Convert to fraction form
    186,802.25/386,896.75 = 386,896.75/x
  3. Step 3: Cross multiply
    186,802.25x = 386,896.75 × 386,896.75
  4. Step 4: Simplify right side
    186,802.25x = 149,689,095,160.56
  5. Step 5: Solve for x
    x = 149,689,095,160.56/186,802.25
  6. Step 6: Final answer
    x = 801,323.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.