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Finding the Third Proportional to 170,766 and 245,961

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Solution

The third proportional to 170,766 and 245,961 is: 354,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,766 : 245,961 = 245,961 : x
  2. Step 2: Convert to fraction form
    170,766/245,961 = 245,961/x
  3. Step 3: Cross multiply
    170,766x = 245,961 × 245,961
  4. Step 4: Simplify right side
    170,766x = 60,496,813,521
  5. Step 5: Solve for x
    x = 60,496,813,521/170,766
  6. Step 6: Final answer
    x = 354,267.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.