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Finding the Third Proportional to 153,866 and 230,799

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Solution

The third proportional to 153,866 and 230,799 is: 346,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,866 : 230,799 = 230,799 : x
  2. Step 2: Convert to fraction form
    153,866/230,799 = 230,799/x
  3. Step 3: Cross multiply
    153,866x = 230,799 × 230,799
  4. Step 4: Simplify right side
    153,866x = 53,268,178,401
  5. Step 5: Solve for x
    x = 53,268,178,401/153,866
  6. Step 6: Final answer
    x = 346,198.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.