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Finding the Third Proportional to 128,187 and 199,000

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Solution

The third proportional to 128,187 and 199,000 is: 308,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,187 : 199,000 = 199,000 : x
  2. Step 2: Convert to fraction form
    128,187/199,000 = 199,000/x
  3. Step 3: Cross multiply
    128,187x = 199,000 × 199,000
  4. Step 4: Simplify right side
    128,187x = 39,601,000,000
  5. Step 5: Solve for x
    x = 39,601,000,000/128,187
  6. Step 6: Final answer
    x = 308,931.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.