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Finding the Third Proportional to 147,428 and 222,204

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Solution

The third proportional to 147,428 and 222,204 is: 334,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,428 : 222,204 = 222,204 : x
  2. Step 2: Convert to fraction form
    147,428/222,204 = 222,204/x
  3. Step 3: Cross multiply
    147,428x = 222,204 × 222,204
  4. Step 4: Simplify right side
    147,428x = 49,374,617,616
  5. Step 5: Solve for x
    x = 49,374,617,616/147,428
  6. Step 6: Final answer
    x = 334,906.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.