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Finding the Third Proportional to 173,128 and 259,004

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Solution

The third proportional to 173,128 and 259,004 is: 387,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,128 : 259,004 = 259,004 : x
  2. Step 2: Convert to fraction form
    173,128/259,004 = 259,004/x
  3. Step 3: Cross multiply
    173,128x = 259,004 × 259,004
  4. Step 4: Simplify right side
    173,128x = 67,083,072,016
  5. Step 5: Solve for x
    x = 67,083,072,016/173,128
  6. Step 6: Final answer
    x = 387,476.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.