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Finding the Third Proportional to 211,760 and 454,232

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Solution

The third proportional to 211,760 and 454,232 is: 974,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,760 : 454,232 = 454,232 : x
  2. Step 2: Convert to fraction form
    211,760/454,232 = 454,232/x
  3. Step 3: Cross multiply
    211,760x = 454,232 × 454,232
  4. Step 4: Simplify right side
    211,760x = 206,326,709,824
  5. Step 5: Solve for x
    x = 206,326,709,824/211,760
  6. Step 6: Final answer
    x = 974,342.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.