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Finding the Third Proportional to 175,346 and 271,203

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Solution

The third proportional to 175,346 and 271,203 is: 419,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,346 : 271,203 = 271,203 : x
  2. Step 2: Convert to fraction form
    175,346/271,203 = 271,203/x
  3. Step 3: Cross multiply
    175,346x = 271,203 × 271,203
  4. Step 4: Simplify right side
    175,346x = 73,551,067,209
  5. Step 5: Solve for x
    x = 73,551,067,209/175,346
  6. Step 6: Final answer
    x = 419,462.48

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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.