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Finding the Third Proportional to 128,977 and 199,297

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Solution

The third proportional to 128,977 and 199,297 is: 307,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,977 : 199,297 = 199,297 : x
  2. Step 2: Convert to fraction form
    128,977/199,297 = 199,297/x
  3. Step 3: Cross multiply
    128,977x = 199,297 × 199,297
  4. Step 4: Simplify right side
    128,977x = 39,719,294,209
  5. Step 5: Solve for x
    x = 39,719,294,209/128,977
  6. Step 6: Final answer
    x = 307,956.41

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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.