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Finding the Third Proportional to 221,924.25 and 314,018.44

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Solution

The third proportional to 221,924.25 and 314,018.44 is: 444,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,924.25 : 314,018.44 = 314,018.44 : x
  2. Step 2: Convert to fraction form
    221,924.25/314,018.44 = 314,018.44/x
  3. Step 3: Cross multiply
    221,924.25x = 314,018.44 × 314,018.44
  4. Step 4: Simplify right side
    221,924.25x = 98,607,579,089.94
  5. Step 5: Solve for x
    x = 98,607,579,089.94/221,924.25
  6. Step 6: Final answer
    x = 444,329.90

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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.