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Finding the Third Proportional to 143,755 and 205,846

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Solution

The third proportional to 143,755 and 205,846 is: 294,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,755 : 205,846 = 205,846 : x
  2. Step 2: Convert to fraction form
    143,755/205,846 = 205,846/x
  3. Step 3: Cross multiply
    143,755x = 205,846 × 205,846
  4. Step 4: Simplify right side
    143,755x = 42,372,575,716
  5. Step 5: Solve for x
    x = 42,372,575,716/143,755
  6. Step 6: Final answer
    x = 294,755.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.