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Finding the Third Proportional to 211,092 and 328,034

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Solution

The third proportional to 211,092 and 328,034 is: 509,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,092 : 328,034 = 328,034 : x
  2. Step 2: Convert to fraction form
    211,092/328,034 = 328,034/x
  3. Step 3: Cross multiply
    211,092x = 328,034 × 328,034
  4. Step 4: Simplify right side
    211,092x = 107,606,305,156
  5. Step 5: Solve for x
    x = 107,606,305,156/211,092
  6. Step 6: Final answer
    x = 509,760.22

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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.