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Finding the Third Proportional to 150,186.50 and 209,970.75

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Solution

The third proportional to 150,186.50 and 209,970.75 is: 293,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,186.50 : 209,970.75 = 209,970.75 : x
  2. Step 2: Convert to fraction form
    150,186.50/209,970.75 = 209,970.75/x
  3. Step 3: Cross multiply
    150,186.50x = 209,970.75 × 209,970.75
  4. Step 4: Simplify right side
    150,186.50x = 44,087,715,855.56
  5. Step 5: Solve for x
    x = 44,087,715,855.56/150,186.50
  6. Step 6: Final answer
    x = 293,553.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.