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Finding the Third Proportional to 160,526 and 379,622

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Solution

The third proportional to 160,526 and 379,622 is: 897,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,526 : 379,622 = 379,622 : x
  2. Step 2: Convert to fraction form
    160,526/379,622 = 379,622/x
  3. Step 3: Cross multiply
    160,526x = 379,622 × 379,622
  4. Step 4: Simplify right side
    160,526x = 144,112,862,884
  5. Step 5: Solve for x
    x = 144,112,862,884/160,526
  6. Step 6: Final answer
    x = 897,754.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.