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Finding the Third Proportional to 134,433 and 206,349

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Solution

The third proportional to 134,433 and 206,349 is: 316,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,433 : 206,349 = 206,349 : x
  2. Step 2: Convert to fraction form
    134,433/206,349 = 206,349/x
  3. Step 3: Cross multiply
    134,433x = 206,349 × 206,349
  4. Step 4: Simplify right side
    134,433x = 42,579,909,801
  5. Step 5: Solve for x
    x = 42,579,909,801/134,433
  6. Step 6: Final answer
    x = 316,737.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.