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Finding the Third Proportional to 211,724 and 454,150

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Solution

The third proportional to 211,724 and 454,150 is: 974,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,724 : 454,150 = 454,150 : x
  2. Step 2: Convert to fraction form
    211,724/454,150 = 454,150/x
  3. Step 3: Cross multiply
    211,724x = 454,150 × 454,150
  4. Step 4: Simplify right side
    211,724x = 206,252,222,500
  5. Step 5: Solve for x
    x = 206,252,222,500/211,724
  6. Step 6: Final answer
    x = 974,156.08

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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.