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Finding the Third Proportional to 206,438.63 and 301,691.25

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Solution

The third proportional to 206,438.63 and 301,691.25 is: 440,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,438.63 : 301,691.25 = 301,691.25 : x
  2. Step 2: Convert to fraction form
    206,438.63/301,691.25 = 301,691.25/x
  3. Step 3: Cross multiply
    206,438.63x = 301,691.25 × 301,691.25
  4. Step 4: Simplify right side
    206,438.63x = 91,017,610,326.56
  5. Step 5: Solve for x
    x = 91,017,610,326.56/206,438.63
  6. Step 6: Final answer
    x = 440,894.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.