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Finding the Third Proportional to 160,499.25 and 379,563

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Solution

The third proportional to 160,499.25 and 379,563 is: 897,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,499.25 : 379,563 = 379,563 : x
  2. Step 2: Convert to fraction form
    160,499.25/379,563 = 379,563/x
  3. Step 3: Cross multiply
    160,499.25x = 379,563 × 379,563
  4. Step 4: Simplify right side
    160,499.25x = 144,068,070,969
  5. Step 5: Solve for x
    x = 144,068,070,969/160,499.25
  6. Step 6: Final answer
    x = 897,624.57

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