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Finding the Third Proportional to 169,152 and 253,206

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Solution

The third proportional to 169,152 and 253,206 is: 379,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,152 : 253,206 = 253,206 : x
  2. Step 2: Convert to fraction form
    169,152/253,206 = 253,206/x
  3. Step 3: Cross multiply
    169,152x = 253,206 × 253,206
  4. Step 4: Simplify right side
    169,152x = 64,113,278,436
  5. Step 5: Solve for x
    x = 64,113,278,436/169,152
  6. Step 6: Final answer
    x = 379,027.61

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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.