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Finding the Third Proportional to 169,100 and 253,188

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Solution

The third proportional to 169,100 and 253,188 is: 379,090.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,100 : 253,188 = 253,188 : x
  2. Step 2: Convert to fraction form
    169,100/253,188 = 253,188/x
  3. Step 3: Cross multiply
    169,100x = 253,188 × 253,188
  4. Step 4: Simplify right side
    169,100x = 64,104,163,344
  5. Step 5: Solve for x
    x = 64,104,163,344/169,100
  6. Step 6: Final answer
    x = 379,090.26

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Why These Related Problems?

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