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Finding the Third Proportional to 173,664 and 262,344

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Solution

The third proportional to 173,664 and 262,344 is: 396,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,664 : 262,344 = 262,344 : x
  2. Step 2: Convert to fraction form
    173,664/262,344 = 262,344/x
  3. Step 3: Cross multiply
    173,664x = 262,344 × 262,344
  4. Step 4: Simplify right side
    173,664x = 68,824,374,336
  5. Step 5: Solve for x
    x = 68,824,374,336/173,664
  6. Step 6: Final answer
    x = 396,307.67

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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.