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Finding the Third Proportional to 187,671.94 and 408,080.53

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Solution

The third proportional to 187,671.94 and 408,080.53 is: 887,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,671.94 : 408,080.53 = 408,080.53 : x
  2. Step 2: Convert to fraction form
    187,671.94/408,080.53 = 408,080.53/x
  3. Step 3: Cross multiply
    187,671.94x = 408,080.53 × 408,080.53
  4. Step 4: Simplify right side
    187,671.94x = 166,529,719,985.28
  5. Step 5: Solve for x
    x = 166,529,719,985.28/187,671.94
  6. Step 6: Final answer
    x = 887,344.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.