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Finding the Third Proportional to 221,942 and 314,043

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Solution

The third proportional to 221,942 and 314,043 is: 444,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,942 : 314,043 = 314,043 : x
  2. Step 2: Convert to fraction form
    221,942/314,043 = 314,043/x
  3. Step 3: Cross multiply
    221,942x = 314,043 × 314,043
  4. Step 4: Simplify right side
    221,942x = 98,623,005,849
  5. Step 5: Solve for x
    x = 98,623,005,849/221,942
  6. Step 6: Final answer
    x = 444,363.87

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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.