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Finding the Third Proportional to 206,597.25 and 437,987.25

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Solution

The third proportional to 206,597.25 and 437,987.25 is: 928,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,597.25 : 437,987.25 = 437,987.25 : x
  2. Step 2: Convert to fraction form
    206,597.25/437,987.25 = 437,987.25/x
  3. Step 3: Cross multiply
    206,597.25x = 437,987.25 × 437,987.25
  4. Step 4: Simplify right side
    206,597.25x = 191,832,831,162.56
  5. Step 5: Solve for x
    x = 191,832,831,162.56/206,597.25
  6. Step 6: Final answer
    x = 928,535.26

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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.