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Finding the Third Proportional to 134,164 and 212,266

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Solution

The third proportional to 134,164 and 212,266 is: 335,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,164 : 212,266 = 212,266 : x
  2. Step 2: Convert to fraction form
    134,164/212,266 = 212,266/x
  3. Step 3: Cross multiply
    134,164x = 212,266 × 212,266
  4. Step 4: Simplify right side
    134,164x = 45,056,854,756
  5. Step 5: Solve for x
    x = 45,056,854,756/134,164
  6. Step 6: Final answer
    x = 335,834.16

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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.