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Finding the Third Proportional to 261,835.50 and 333,217.50

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Solution

The third proportional to 261,835.50 and 333,217.50 is: 424,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,835.50 : 333,217.50 = 333,217.50 : x
  2. Step 2: Convert to fraction form
    261,835.50/333,217.50 = 333,217.50/x
  3. Step 3: Cross multiply
    261,835.50x = 333,217.50 × 333,217.50
  4. Step 4: Simplify right side
    261,835.50x = 111,033,902,306.25
  5. Step 5: Solve for x
    x = 111,033,902,306.25/261,835.50
  6. Step 6: Final answer
    x = 424,059.77

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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.