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Finding the Third Proportional to 204,782.63 and 425,908.13

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Solution

The third proportional to 204,782.63 and 425,908.13 is: 885,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,782.63 : 425,908.13 = 425,908.13 : x
  2. Step 2: Convert to fraction form
    204,782.63/425,908.13 = 425,908.13/x
  3. Step 3: Cross multiply
    204,782.63x = 425,908.13 × 425,908.13
  4. Step 4: Simplify right side
    204,782.63x = 181,397,730,941.02
  5. Step 5: Solve for x
    x = 181,397,730,941.02/204,782.63
  6. Step 6: Final answer
    x = 885,806.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.