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Finding the Third Proportional to 222,223.50 and 293,422.50

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Solution

The third proportional to 222,223.50 and 293,422.50 is: 387,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,223.50 : 293,422.50 = 293,422.50 : x
  2. Step 2: Convert to fraction form
    222,223.50/293,422.50 = 293,422.50/x
  3. Step 3: Cross multiply
    222,223.50x = 293,422.50 × 293,422.50
  4. Step 4: Simplify right side
    222,223.50x = 86,096,763,506.25
  5. Step 5: Solve for x
    x = 86,096,763,506.25/222,223.50
  6. Step 6: Final answer
    x = 387,433.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.