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Finding the Third Proportional to 154,031 and 206,034

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Solution

The third proportional to 154,031 and 206,034 is: 275,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,031 : 206,034 = 206,034 : x
  2. Step 2: Convert to fraction form
    154,031/206,034 = 206,034/x
  3. Step 3: Cross multiply
    154,031x = 206,034 × 206,034
  4. Step 4: Simplify right side
    154,031x = 42,450,009,156
  5. Step 5: Solve for x
    x = 42,450,009,156/154,031
  6. Step 6: Final answer
    x = 275,593.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.