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Finding the Third Proportional to 173,328.75 and 261,222.75

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Solution

The third proportional to 173,328.75 and 261,222.75 is: 393,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,328.75 : 261,222.75 = 261,222.75 : x
  2. Step 2: Convert to fraction form
    173,328.75/261,222.75 = 261,222.75/x
  3. Step 3: Cross multiply
    173,328.75x = 261,222.75 × 261,222.75
  4. Step 4: Simplify right side
    173,328.75x = 68,237,325,117.56
  5. Step 5: Solve for x
    x = 68,237,325,117.56/173,328.75
  6. Step 6: Final answer
    x = 393,687.29

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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.