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Finding the Third Proportional to 160,512.75 and 248,884.50

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Solution

The third proportional to 160,512.75 and 248,884.50 is: 385,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,512.75 : 248,884.50 = 248,884.50 : x
  2. Step 2: Convert to fraction form
    160,512.75/248,884.50 = 248,884.50/x
  3. Step 3: Cross multiply
    160,512.75x = 248,884.50 × 248,884.50
  4. Step 4: Simplify right side
    160,512.75x = 61,943,494,340.25
  5. Step 5: Solve for x
    x = 61,943,494,340.25/160,512.75
  6. Step 6: Final answer
    x = 385,910.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.