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Finding the Third Proportional to 160,524 and 379,617

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Solution

The third proportional to 160,524 and 379,617 is: 897,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,524 : 379,617 = 379,617 : x
  2. Step 2: Convert to fraction form
    160,524/379,617 = 379,617/x
  3. Step 3: Cross multiply
    160,524x = 379,617 × 379,617
  4. Step 4: Simplify right side
    160,524x = 144,109,066,689
  5. Step 5: Solve for x
    x = 144,109,066,689/160,524
  6. Step 6: Final answer
    x = 897,741.56

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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.