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Finding the Third Proportional to 160,061 and 343,450

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Solution

The third proportional to 160,061 and 343,450 is: 736,955.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,061 : 343,450 = 343,450 : x
  2. Step 2: Convert to fraction form
    160,061/343,450 = 343,450/x
  3. Step 3: Cross multiply
    160,061x = 343,450 × 343,450
  4. Step 4: Simplify right side
    160,061x = 117,957,902,500
  5. Step 5: Solve for x
    x = 117,957,902,500/160,061
  6. Step 6: Final answer
    x = 736,955.93

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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.