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Finding the Third Proportional to 221,926 and 314,021

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Solution

The third proportional to 221,926 and 314,021 is: 444,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,926 : 314,021 = 314,021 : x
  2. Step 2: Convert to fraction form
    221,926/314,021 = 314,021/x
  3. Step 3: Cross multiply
    221,926x = 314,021 × 314,021
  4. Step 4: Simplify right side
    221,926x = 98,609,188,441
  5. Step 5: Solve for x
    x = 98,609,188,441/221,926
  6. Step 6: Final answer
    x = 444,333.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.