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Finding the Third Proportional to 160,218 and 345,767

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Solution

The third proportional to 160,218 and 345,767 is: 746,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,218 : 345,767 = 345,767 : x
  2. Step 2: Convert to fraction form
    160,218/345,767 = 345,767/x
  3. Step 3: Cross multiply
    160,218x = 345,767 × 345,767
  4. Step 4: Simplify right side
    160,218x = 119,554,818,289
  5. Step 5: Solve for x
    x = 119,554,818,289/160,218
  6. Step 6: Final answer
    x = 746,200.92

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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.