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Finding the Third Proportional to 172,908 and 259,362

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Solution

The third proportional to 172,908 and 259,362 is: 389,043

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,908 : 259,362 = 259,362 : x
  2. Step 2: Convert to fraction form
    172,908/259,362 = 259,362/x
  3. Step 3: Cross multiply
    172,908x = 259,362 × 259,362
  4. Step 4: Simplify right side
    172,908x = 67,268,647,044
  5. Step 5: Solve for x
    x = 67,268,647,044/172,908
  6. Step 6: Final answer
    x = 389,043

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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.