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Finding the Third Proportional to 261,832.50 and 400,357.69

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Solution

The third proportional to 261,832.50 and 400,357.69 is: 612,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,832.50 : 400,357.69 = 400,357.69 : x
  2. Step 2: Convert to fraction form
    261,832.50/400,357.69 = 400,357.69/x
  3. Step 3: Cross multiply
    261,832.50x = 400,357.69 × 400,357.69
  4. Step 4: Simplify right side
    261,832.50x = 160,286,277,940.35
  5. Step 5: Solve for x
    x = 160,286,277,940.35/261,832.50
  6. Step 6: Final answer
    x = 612,171.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.