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Finding the Third Proportional to 128,206 and 199,032

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Solution

The third proportional to 128,206 and 199,032 is: 308,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,206 : 199,032 = 199,032 : x
  2. Step 2: Convert to fraction form
    128,206/199,032 = 199,032/x
  3. Step 3: Cross multiply
    128,206x = 199,032 × 199,032
  4. Step 4: Simplify right side
    128,206x = 39,613,737,024
  5. Step 5: Solve for x
    x = 39,613,737,024/128,206
  6. Step 6: Final answer
    x = 308,985.05

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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.