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Finding the Third Proportional to 208,135.50 and 431,040

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Solution

The third proportional to 208,135.50 and 431,040 is: 892,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,135.50 : 431,040 = 431,040 : x
  2. Step 2: Convert to fraction form
    208,135.50/431,040 = 431,040/x
  3. Step 3: Cross multiply
    208,135.50x = 431,040 × 431,040
  4. Step 4: Simplify right side
    208,135.50x = 185,795,481,600
  5. Step 5: Solve for x
    x = 185,795,481,600/208,135.50
  6. Step 6: Final answer
    x = 892,665.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.