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Finding the Third Proportional to 137,632.50 and 303,206.63

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Solution

The third proportional to 137,632.50 and 303,206.63 is: 667,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,632.50 : 303,206.63 = 303,206.63 : x
  2. Step 2: Convert to fraction form
    137,632.50/303,206.63 = 303,206.63/x
  3. Step 3: Cross multiply
    137,632.50x = 303,206.63 × 303,206.63
  4. Step 4: Simplify right side
    137,632.50x = 91,934,257,443.89
  5. Step 5: Solve for x
    x = 91,934,257,443.89/137,632.50
  6. Step 6: Final answer
    x = 667,969.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.