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Finding the Third Proportional to 101,834 and 221,740

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Solution

The third proportional to 101,834 and 221,740 is: 482,831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,834 : 221,740 = 221,740 : x
  2. Step 2: Convert to fraction form
    101,834/221,740 = 221,740/x
  3. Step 3: Cross multiply
    101,834x = 221,740 × 221,740
  4. Step 4: Simplify right side
    101,834x = 49,168,627,600
  5. Step 5: Solve for x
    x = 49,168,627,600/101,834
  6. Step 6: Final answer
    x = 482,831.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.