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Finding the Third Proportional to 141,566 and 206,505

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Solution

The third proportional to 141,566 and 206,505 is: 301,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,566 : 206,505 = 206,505 : x
  2. Step 2: Convert to fraction form
    141,566/206,505 = 206,505/x
  3. Step 3: Cross multiply
    141,566x = 206,505 × 206,505
  4. Step 4: Simplify right side
    141,566x = 42,644,315,025
  5. Step 5: Solve for x
    x = 42,644,315,025/141,566
  6. Step 6: Final answer
    x = 301,232.75

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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.