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Finding the Third Proportional to 159,689 and 347,726

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Solution

The third proportional to 159,689 and 347,726 is: 757,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,689 : 347,726 = 347,726 : x
  2. Step 2: Convert to fraction form
    159,689/347,726 = 347,726/x
  3. Step 3: Cross multiply
    159,689x = 347,726 × 347,726
  4. Step 4: Simplify right side
    159,689x = 120,913,371,076
  5. Step 5: Solve for x
    x = 120,913,371,076/159,689
  6. Step 6: Final answer
    x = 757,180.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.