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Finding the Third Proportional to 135,888 and 296,456

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Solution

The third proportional to 135,888 and 296,456 is: 646,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,888 : 296,456 = 296,456 : x
  2. Step 2: Convert to fraction form
    135,888/296,456 = 296,456/x
  3. Step 3: Cross multiply
    135,888x = 296,456 × 296,456
  4. Step 4: Simplify right side
    135,888x = 87,886,159,936
  5. Step 5: Solve for x
    x = 87,886,159,936/135,888
  6. Step 6: Final answer
    x = 646,754.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.