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Finding the Third Proportional to 160,647.75 and 349,915.50

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Solution

The third proportional to 160,647.75 and 349,915.50 is: 762,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,647.75 : 349,915.50 = 349,915.50 : x
  2. Step 2: Convert to fraction form
    160,647.75/349,915.50 = 349,915.50/x
  3. Step 3: Cross multiply
    160,647.75x = 349,915.50 × 349,915.50
  4. Step 4: Simplify right side
    160,647.75x = 122,440,857,140.25
  5. Step 5: Solve for x
    x = 122,440,857,140.25/160,647.75
  6. Step 6: Final answer
    x = 762,169.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.