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Finding the Third Proportional to 206,266.50 and 425,381.63

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Solution

The third proportional to 206,266.50 and 425,381.63 is: 877,260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,266.50 : 425,381.63 = 425,381.63 : x
  2. Step 2: Convert to fraction form
    206,266.50/425,381.63 = 425,381.63/x
  3. Step 3: Cross multiply
    206,266.50x = 425,381.63 × 425,381.63
  4. Step 4: Simplify right side
    206,266.50x = 180,949,526,887.64
  5. Step 5: Solve for x
    x = 180,949,526,887.64/206,266.50
  6. Step 6: Final answer
    x = 877,260.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.