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Finding the Third Proportional to 211,078 and 334,223

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Solution

The third proportional to 211,078 and 334,223 is: 529,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,078 : 334,223 = 334,223 : x
  2. Step 2: Convert to fraction form
    211,078/334,223 = 334,223/x
  3. Step 3: Cross multiply
    211,078x = 334,223 × 334,223
  4. Step 4: Simplify right side
    211,078x = 111,705,013,729
  5. Step 5: Solve for x
    x = 111,705,013,729/211,078
  6. Step 6: Final answer
    x = 529,212.02

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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.