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Finding the Third Proportional to 221,928 and 314,022

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Solution

The third proportional to 221,928 and 314,022 is: 444,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,928 : 314,022 = 314,022 : x
  2. Step 2: Convert to fraction form
    221,928/314,022 = 314,022/x
  3. Step 3: Cross multiply
    221,928x = 314,022 × 314,022
  4. Step 4: Simplify right side
    221,928x = 98,609,816,484
  5. Step 5: Solve for x
    x = 98,609,816,484/221,928
  6. Step 6: Final answer
    x = 444,332.47

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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.