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Finding the Third Proportional to 160,216 and 345,763

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Solution

The third proportional to 160,216 and 345,763 is: 746,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,216 : 345,763 = 345,763 : x
  2. Step 2: Convert to fraction form
    160,216/345,763 = 345,763/x
  3. Step 3: Cross multiply
    160,216x = 345,763 × 345,763
  4. Step 4: Simplify right side
    160,216x = 119,552,052,169
  5. Step 5: Solve for x
    x = 119,552,052,169/160,216
  6. Step 6: Final answer
    x = 746,192.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.