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Finding the Third Proportional to 206,994 and 427,202

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Solution

The third proportional to 206,994 and 427,202 is: 881,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,994 : 427,202 = 427,202 : x
  2. Step 2: Convert to fraction form
    206,994/427,202 = 427,202/x
  3. Step 3: Cross multiply
    206,994x = 427,202 × 427,202
  4. Step 4: Simplify right side
    206,994x = 182,501,548,804
  5. Step 5: Solve for x
    x = 182,501,548,804/206,994
  6. Step 6: Final answer
    x = 881,675.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.