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Finding the Third Proportional to 169,378 and 253,235

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Solution

The third proportional to 169,378 and 253,235 is: 378,608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,378 : 253,235 = 253,235 : x
  2. Step 2: Convert to fraction form
    169,378/253,235 = 253,235/x
  3. Step 3: Cross multiply
    169,378x = 253,235 × 253,235
  4. Step 4: Simplify right side
    169,378x = 64,127,965,225
  5. Step 5: Solve for x
    x = 64,127,965,225/169,378
  6. Step 6: Final answer
    x = 378,608.59

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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.