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Finding the Third Proportional to 206,550 and 437,703.75

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Solution

The third proportional to 206,550 and 437,703.75 is: 927,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,550 : 437,703.75 = 437,703.75 : x
  2. Step 2: Convert to fraction form
    206,550/437,703.75 = 437,703.75/x
  3. Step 3: Cross multiply
    206,550x = 437,703.75 × 437,703.75
  4. Step 4: Simplify right side
    206,550x = 191,584,572,764.06
  5. Step 5: Solve for x
    x = 191,584,572,764.06/206,550
  6. Step 6: Final answer
    x = 927,545.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.