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Finding the Third Proportional to 169,060 and 253,068

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Solution

The third proportional to 169,060 and 253,068 is: 378,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,060 : 253,068 = 253,068 : x
  2. Step 2: Convert to fraction form
    169,060/253,068 = 253,068/x
  3. Step 3: Cross multiply
    169,060x = 253,068 × 253,068
  4. Step 4: Simplify right side
    169,060x = 64,043,412,624
  5. Step 5: Solve for x
    x = 64,043,412,624/169,060
  6. Step 6: Final answer
    x = 378,820.61

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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.