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Finding the Third Proportional to 160,497 and 379,558

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Solution

The third proportional to 160,497 and 379,558 is: 897,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,497 : 379,558 = 379,558 : x
  2. Step 2: Convert to fraction form
    160,497/379,558 = 379,558/x
  3. Step 3: Cross multiply
    160,497x = 379,558 × 379,558
  4. Step 4: Simplify right side
    160,497x = 144,064,275,364
  5. Step 5: Solve for x
    x = 144,064,275,364/160,497
  6. Step 6: Final answer
    x = 897,613.51

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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.