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Finding the Third Proportional to 150,700 and 206,641

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Solution

The third proportional to 150,700 and 206,641 is: 283,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,700 : 206,641 = 206,641 : x
  2. Step 2: Convert to fraction form
    150,700/206,641 = 206,641/x
  3. Step 3: Cross multiply
    150,700x = 206,641 × 206,641
  4. Step 4: Simplify right side
    150,700x = 42,700,502,881
  5. Step 5: Solve for x
    x = 42,700,502,881/150,700
  6. Step 6: Final answer
    x = 283,347.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.