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Finding the Third Proportional to 264,166.31 and 401,299.31

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Solution

The third proportional to 264,166.31 and 401,299.31 is: 609,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,166.31 : 401,299.31 = 401,299.31 : x
  2. Step 2: Convert to fraction form
    264,166.31/401,299.31 = 401,299.31/x
  3. Step 3: Cross multiply
    264,166.31x = 401,299.31 × 401,299.31
  4. Step 4: Simplify right side
    264,166.31x = 161,041,138,212.97
  5. Step 5: Solve for x
    x = 161,041,138,212.97/264,166.31
  6. Step 6: Final answer
    x = 609,620.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.