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Finding the Third Proportional to 160,515 and 379,602

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Solution

The third proportional to 160,515 and 379,602 is: 897,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,515 : 379,602 = 379,602 : x
  2. Step 2: Convert to fraction form
    160,515/379,602 = 379,602/x
  3. Step 3: Cross multiply
    160,515x = 379,602 × 379,602
  4. Step 4: Simplify right side
    160,515x = 144,097,678,404
  5. Step 5: Solve for x
    x = 144,097,678,404/160,515
  6. Step 6: Final answer
    x = 897,720.95

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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.