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Finding the Third Proportional to 187,715 and 388,737.50

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Solution

The third proportional to 187,715 and 388,737.50 is: 805,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,715 : 388,737.50 = 388,737.50 : x
  2. Step 2: Convert to fraction form
    187,715/388,737.50 = 388,737.50/x
  3. Step 3: Cross multiply
    187,715x = 388,737.50 × 388,737.50
  4. Step 4: Simplify right side
    187,715x = 151,116,843,906.25
  5. Step 5: Solve for x
    x = 151,116,843,906.25/187,715
  6. Step 6: Final answer
    x = 805,033.40

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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.