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Finding the Third Proportional to 199,503.50 and 437,767

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Solution

The third proportional to 199,503.50 and 437,767 is: 960,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,503.50 : 437,767 = 437,767 : x
  2. Step 2: Convert to fraction form
    199,503.50/437,767 = 437,767/x
  3. Step 3: Cross multiply
    199,503.50x = 437,767 × 437,767
  4. Step 4: Simplify right side
    199,503.50x = 191,639,946,289
  5. Step 5: Solve for x
    x = 191,639,946,289/199,503.50
  6. Step 6: Final answer
    x = 960,584.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.