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Finding the Third Proportional to 211,555 and 305,680

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Solution

The third proportional to 211,555 and 305,680 is: 441,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,555 : 305,680 = 305,680 : x
  2. Step 2: Convert to fraction form
    211,555/305,680 = 305,680/x
  3. Step 3: Cross multiply
    211,555x = 305,680 × 305,680
  4. Step 4: Simplify right side
    211,555x = 93,440,262,400
  5. Step 5: Solve for x
    x = 93,440,262,400/211,555
  6. Step 6: Final answer
    x = 441,683.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.