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Finding the Third Proportional to 215,102 and 334,158

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Solution

The third proportional to 215,102 and 334,158 is: 519,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,102 : 334,158 = 334,158 : x
  2. Step 2: Convert to fraction form
    215,102/334,158 = 334,158/x
  3. Step 3: Cross multiply
    215,102x = 334,158 × 334,158
  4. Step 4: Simplify right side
    215,102x = 111,661,568,964
  5. Step 5: Solve for x
    x = 111,661,568,964/215,102
  6. Step 6: Final answer
    x = 519,109.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.