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Finding the Third Proportional to 206,156 and 294,018

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Solution

The third proportional to 206,156 and 294,018 is: 419,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,156 : 294,018 = 294,018 : x
  2. Step 2: Convert to fraction form
    206,156/294,018 = 294,018/x
  3. Step 3: Cross multiply
    206,156x = 294,018 × 294,018
  4. Step 4: Simplify right side
    206,156x = 86,446,584,324
  5. Step 5: Solve for x
    x = 86,446,584,324/206,156
  6. Step 6: Final answer
    x = 419,326.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.