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Finding the Third Proportional to 160,802 and 345,829

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Solution

The third proportional to 160,802 and 345,829 is: 743,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,802 : 345,829 = 345,829 : x
  2. Step 2: Convert to fraction form
    160,802/345,829 = 345,829/x
  3. Step 3: Cross multiply
    160,802x = 345,829 × 345,829
  4. Step 4: Simplify right side
    160,802x = 119,597,697,241
  5. Step 5: Solve for x
    x = 119,597,697,241/160,802
  6. Step 6: Final answer
    x = 743,757.52

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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.