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Finding the Third Proportional to 167,563.50 and 359,115

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Solution

The third proportional to 167,563.50 and 359,115 is: 769,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,563.50 : 359,115 = 359,115 : x
  2. Step 2: Convert to fraction form
    167,563.50/359,115 = 359,115/x
  3. Step 3: Cross multiply
    167,563.50x = 359,115 × 359,115
  4. Step 4: Simplify right side
    167,563.50x = 128,963,583,225
  5. Step 5: Solve for x
    x = 128,963,583,225/167,563.50
  6. Step 6: Final answer
    x = 769,640.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.