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Finding the Third Proportional to 206,429 and 341,644

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Solution

The third proportional to 206,429 and 341,644 is: 565,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,429 : 341,644 = 341,644 : x
  2. Step 2: Convert to fraction form
    206,429/341,644 = 341,644/x
  3. Step 3: Cross multiply
    206,429x = 341,644 × 341,644
  4. Step 4: Simplify right side
    206,429x = 116,720,622,736
  5. Step 5: Solve for x
    x = 116,720,622,736/206,429
  6. Step 6: Final answer
    x = 565,427.45

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.