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Finding the Third Proportional to 134,183 and 212,210

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Solution

The third proportional to 134,183 and 212,210 is: 335,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,183 : 212,210 = 212,210 : x
  2. Step 2: Convert to fraction form
    134,183/212,210 = 212,210/x
  3. Step 3: Cross multiply
    134,183x = 212,210 × 212,210
  4. Step 4: Simplify right side
    134,183x = 45,033,084,100
  5. Step 5: Solve for x
    x = 45,033,084,100/134,183
  6. Step 6: Final answer
    x = 335,609.46

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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.