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Finding the Third Proportional to 159,166 and 342,034

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Solution

The third proportional to 159,166 and 342,034 is: 735,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,166 : 342,034 = 342,034 : x
  2. Step 2: Convert to fraction form
    159,166/342,034 = 342,034/x
  3. Step 3: Cross multiply
    159,166x = 342,034 × 342,034
  4. Step 4: Simplify right side
    159,166x = 116,987,257,156
  5. Step 5: Solve for x
    x = 116,987,257,156/159,166
  6. Step 6: Final answer
    x = 735,001.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.