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Finding the Third Proportional to 206,454 and 290,730

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Solution

The third proportional to 206,454 and 290,730 is: 409,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,454 : 290,730 = 290,730 : x
  2. Step 2: Convert to fraction form
    206,454/290,730 = 290,730/x
  3. Step 3: Cross multiply
    206,454x = 290,730 × 290,730
  4. Step 4: Simplify right side
    206,454x = 84,523,932,900
  5. Step 5: Solve for x
    x = 84,523,932,900/206,454
  6. Step 6: Final answer
    x = 409,408.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.