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Finding the Third Proportional to 160,836 and 343,762

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Solution

The third proportional to 160,836 and 343,762 is: 734,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,836 : 343,762 = 343,762 : x
  2. Step 2: Convert to fraction form
    160,836/343,762 = 343,762/x
  3. Step 3: Cross multiply
    160,836x = 343,762 × 343,762
  4. Step 4: Simplify right side
    160,836x = 118,172,312,644
  5. Step 5: Solve for x
    x = 118,172,312,644/160,836
  6. Step 6: Final answer
    x = 734,737.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.