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Finding the Third Proportional to 147,467 and 222,409

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Solution

The third proportional to 147,467 and 222,409 is: 335,436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,467 : 222,409 = 222,409 : x
  2. Step 2: Convert to fraction form
    147,467/222,409 = 222,409/x
  3. Step 3: Cross multiply
    147,467x = 222,409 × 222,409
  4. Step 4: Simplify right side
    147,467x = 49,465,763,281
  5. Step 5: Solve for x
    x = 49,465,763,281/147,467
  6. Step 6: Final answer
    x = 335,436.15

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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.