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Finding the Third Proportional to 206,452 and 301,712

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Solution

The third proportional to 206,452 and 301,712 is: 440,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,452 : 301,712 = 301,712 : x
  2. Step 2: Convert to fraction form
    206,452/301,712 = 301,712/x
  3. Step 3: Cross multiply
    206,452x = 301,712 × 301,712
  4. Step 4: Simplify right side
    206,452x = 91,030,130,944
  5. Step 5: Solve for x
    x = 91,030,130,944/206,452
  6. Step 6: Final answer
    x = 440,926.37

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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.