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Finding the Third Proportional to 261,832.50 and 333,213.75

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Solution

The third proportional to 261,832.50 and 333,213.75 is: 424,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,832.50 : 333,213.75 = 333,213.75 : x
  2. Step 2: Convert to fraction form
    261,832.50/333,213.75 = 333,213.75/x
  3. Step 3: Cross multiply
    261,832.50x = 333,213.75 × 333,213.75
  4. Step 4: Simplify right side
    261,832.50x = 111,031,403,189.06
  5. Step 5: Solve for x
    x = 111,031,403,189.06/261,832.50
  6. Step 6: Final answer
    x = 424,055.09

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.