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Finding the Third Proportional to 186,896.25 and 282,288.38

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Solution

The third proportional to 186,896.25 and 282,288.38 is: 426,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,896.25 : 282,288.38 = 282,288.38 : x
  2. Step 2: Convert to fraction form
    186,896.25/282,288.38 = 282,288.38/x
  3. Step 3: Cross multiply
    186,896.25x = 282,288.38 × 282,288.38
  4. Step 4: Simplify right side
    186,896.25x = 79,686,726,660.14
  5. Step 5: Solve for x
    x = 79,686,726,660.14/186,896.25
  6. Step 6: Final answer
    x = 426,368.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.