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Finding the Third Proportional to 187,735.75 and 388,772.25

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Solution

The third proportional to 187,735.75 and 388,772.25 is: 805,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,735.75 : 388,772.25 = 388,772.25 : x
  2. Step 2: Convert to fraction form
    187,735.75/388,772.25 = 388,772.25/x
  3. Step 3: Cross multiply
    187,735.75x = 388,772.25 × 388,772.25
  4. Step 4: Simplify right side
    187,735.75x = 151,143,862,370.06
  5. Step 5: Solve for x
    x = 151,143,862,370.06/187,735.75
  6. Step 6: Final answer
    x = 805,088.33

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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.