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Finding the Third Proportional to 221,842 and 362,208

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Solution

The third proportional to 221,842 and 362,208 is: 591,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,842 : 362,208 = 362,208 : x
  2. Step 2: Convert to fraction form
    221,842/362,208 = 362,208/x
  3. Step 3: Cross multiply
    221,842x = 362,208 × 362,208
  4. Step 4: Simplify right side
    221,842x = 131,194,635,264
  5. Step 5: Solve for x
    x = 131,194,635,264/221,842
  6. Step 6: Final answer
    x = 591,387.72

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.