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Finding the Third Proportional to 211,732 and 454,160

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Solution

The third proportional to 211,732 and 454,160 is: 974,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,732 : 454,160 = 454,160 : x
  2. Step 2: Convert to fraction form
    211,732/454,160 = 454,160/x
  3. Step 3: Cross multiply
    211,732x = 454,160 × 454,160
  4. Step 4: Simplify right side
    211,732x = 206,261,305,600
  5. Step 5: Solve for x
    x = 206,261,305,600/211,732
  6. Step 6: Final answer
    x = 974,162.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.