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Finding the Third Proportional to 134,186 and 212,212

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Solution

The third proportional to 134,186 and 212,212 is: 335,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,186 : 212,212 = 212,212 : x
  2. Step 2: Convert to fraction form
    134,186/212,212 = 212,212/x
  3. Step 3: Cross multiply
    134,186x = 212,212 × 212,212
  4. Step 4: Simplify right side
    134,186x = 45,033,932,944
  5. Step 5: Solve for x
    x = 45,033,932,944/134,186
  6. Step 6: Final answer
    x = 335,608.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.