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Finding the Third Proportional to 222,232 and 353,032

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Solution

The third proportional to 222,232 and 353,032 is: 560,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,232 : 353,032 = 353,032 : x
  2. Step 2: Convert to fraction form
    222,232/353,032 = 353,032/x
  3. Step 3: Cross multiply
    222,232x = 353,032 × 353,032
  4. Step 4: Simplify right side
    222,232x = 124,631,593,024
  5. Step 5: Solve for x
    x = 124,631,593,024/222,232
  6. Step 6: Final answer
    x = 560,817.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.