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Finding the Third Proportional to 160,568.25 and 225,915.75

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Solution

The third proportional to 160,568.25 and 225,915.75 is: 317,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,568.25 : 225,915.75 = 225,915.75 : x
  2. Step 2: Convert to fraction form
    160,568.25/225,915.75 = 225,915.75/x
  3. Step 3: Cross multiply
    160,568.25x = 225,915.75 × 225,915.75
  4. Step 4: Simplify right side
    160,568.25x = 51,037,926,098.06
  5. Step 5: Solve for x
    x = 51,037,926,098.06/160,568.25
  6. Step 6: Final answer
    x = 317,858.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.