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Finding the Third Proportional to 222,236 and 353,038

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Solution

The third proportional to 222,236 and 353,038 is: 560,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,236 : 353,038 = 353,038 : x
  2. Step 2: Convert to fraction form
    222,236/353,038 = 353,038/x
  3. Step 3: Cross multiply
    222,236x = 353,038 × 353,038
  4. Step 4: Simplify right side
    222,236x = 124,635,829,444
  5. Step 5: Solve for x
    x = 124,635,829,444/222,236
  6. Step 6: Final answer
    x = 560,826.46

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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.