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Finding the Third Proportional to 159,774 and 336,108

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Solution

The third proportional to 159,774 and 336,108 is: 707,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,774 : 336,108 = 336,108 : x
  2. Step 2: Convert to fraction form
    159,774/336,108 = 336,108/x
  3. Step 3: Cross multiply
    159,774x = 336,108 × 336,108
  4. Step 4: Simplify right side
    159,774x = 112,968,587,664
  5. Step 5: Solve for x
    x = 112,968,587,664/159,774
  6. Step 6: Final answer
    x = 707,052.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.