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Finding the Third Proportional to 206,452 and 301,709

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Solution

The third proportional to 206,452 and 301,709 is: 440,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,452 : 301,709 = 301,709 : x
  2. Step 2: Convert to fraction form
    206,452/301,709 = 301,709/x
  3. Step 3: Cross multiply
    206,452x = 301,709 × 301,709
  4. Step 4: Simplify right side
    206,452x = 91,028,320,681
  5. Step 5: Solve for x
    x = 91,028,320,681/206,452
  6. Step 6: Final answer
    x = 440,917.60

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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.