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Finding the Third Proportional to 187,727.75 and 388,763.50

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Solution

The third proportional to 187,727.75 and 388,763.50 is: 805,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,727.75 : 388,763.50 = 388,763.50 : x
  2. Step 2: Convert to fraction form
    187,727.75/388,763.50 = 388,763.50/x
  3. Step 3: Cross multiply
    187,727.75x = 388,763.50 × 388,763.50
  4. Step 4: Simplify right side
    187,727.75x = 151,137,058,932.25
  5. Step 5: Solve for x
    x = 151,137,058,932.25/187,727.75
  6. Step 6: Final answer
    x = 805,086.40

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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.