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Finding the Third Proportional to 206,669 and 432,031

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Solution

The third proportional to 206,669 and 432,031 is: 903,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,669 : 432,031 = 432,031 : x
  2. Step 2: Convert to fraction form
    206,669/432,031 = 432,031/x
  3. Step 3: Cross multiply
    206,669x = 432,031 × 432,031
  4. Step 4: Simplify right side
    206,669x = 186,650,784,961
  5. Step 5: Solve for x
    x = 186,650,784,961/206,669
  6. Step 6: Final answer
    x = 903,138.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.