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Finding the Third Proportional to 202,826 and 322,069

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Solution

The third proportional to 202,826 and 322,069 is: 511,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,826 : 322,069 = 322,069 : x
  2. Step 2: Convert to fraction form
    202,826/322,069 = 322,069/x
  3. Step 3: Cross multiply
    202,826x = 322,069 × 322,069
  4. Step 4: Simplify right side
    202,826x = 103,728,440,761
  5. Step 5: Solve for x
    x = 103,728,440,761/202,826
  6. Step 6: Final answer
    x = 511,415.90

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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.