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Finding the Third Proportional to 206,803.13 and 432,550.13

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Solution

The third proportional to 206,803.13 and 432,550.13 is: 904,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,803.13 : 432,550.13 = 432,550.13 : x
  2. Step 2: Convert to fraction form
    206,803.13/432,550.13 = 432,550.13/x
  3. Step 3: Cross multiply
    206,803.13x = 432,550.13 × 432,550.13
  4. Step 4: Simplify right side
    206,803.13x = 187,099,610,637.52
  5. Step 5: Solve for x
    x = 187,099,610,637.52/206,803.13
  6. Step 6: Final answer
    x = 904,723.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.