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Finding the Third Proportional to 84,928.50 and 167,715.56

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Solution

The third proportional to 84,928.50 and 167,715.56 is: 331,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,928.50 : 167,715.56 = 167,715.56 : x
  2. Step 2: Convert to fraction form
    84,928.50/167,715.56 = 167,715.56/x
  3. Step 3: Cross multiply
    84,928.50x = 167,715.56 × 167,715.56
  4. Step 4: Simplify right side
    84,928.50x = 28,128,509,904.69
  5. Step 5: Solve for x
    x = 28,128,509,904.69/84,928.50
  6. Step 6: Final answer
    x = 331,202.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.