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Finding the Third Proportional to 142,451 and 303,970

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Solution

The third proportional to 142,451 and 303,970 is: 648,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,451 : 303,970 = 303,970 : x
  2. Step 2: Convert to fraction form
    142,451/303,970 = 303,970/x
  3. Step 3: Cross multiply
    142,451x = 303,970 × 303,970
  4. Step 4: Simplify right side
    142,451x = 92,397,760,900
  5. Step 5: Solve for x
    x = 92,397,760,900/142,451
  6. Step 6: Final answer
    x = 648,628.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.