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Finding the Third Proportional to 159,124 and 343,153

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Solution

The third proportional to 159,124 and 343,153 is: 740,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,124 : 343,153 = 343,153 : x
  2. Step 2: Convert to fraction form
    159,124/343,153 = 343,153/x
  3. Step 3: Cross multiply
    159,124x = 343,153 × 343,153
  4. Step 4: Simplify right side
    159,124x = 117,753,981,409
  5. Step 5: Solve for x
    x = 117,753,981,409/159,124
  6. Step 6: Final answer
    x = 740,013.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.