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Finding the Third Proportional to 153,811 and 232,766

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Solution

The third proportional to 153,811 and 232,766 is: 352,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,811 : 232,766 = 232,766 : x
  2. Step 2: Convert to fraction form
    153,811/232,766 = 232,766/x
  3. Step 3: Cross multiply
    153,811x = 232,766 × 232,766
  4. Step 4: Simplify right side
    153,811x = 54,180,010,756
  5. Step 5: Solve for x
    x = 54,180,010,756/153,811
  6. Step 6: Final answer
    x = 352,250.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.