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Finding the Third Proportional to 206,445 and 437,698.50

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Solution

The third proportional to 206,445 and 437,698.50 is: 927,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,445 : 437,698.50 = 437,698.50 : x
  2. Step 2: Convert to fraction form
    206,445/437,698.50 = 437,698.50/x
  3. Step 3: Cross multiply
    206,445x = 437,698.50 × 437,698.50
  4. Step 4: Simplify right side
    206,445x = 191,579,976,902.25
  5. Step 5: Solve for x
    x = 191,579,976,902.25/206,445
  6. Step 6: Final answer
    x = 927,995.24

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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.