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Finding the Third Proportional to 221,837 and 362,202

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Solution

The third proportional to 221,837 and 362,202 is: 591,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,837 : 362,202 = 362,202 : x
  2. Step 2: Convert to fraction form
    221,837/362,202 = 362,202/x
  3. Step 3: Cross multiply
    221,837x = 362,202 × 362,202
  4. Step 4: Simplify right side
    221,837x = 131,190,288,804
  5. Step 5: Solve for x
    x = 131,190,288,804/221,837
  6. Step 6: Final answer
    x = 591,381.46

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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.