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Finding the Third Proportional to 213,904 and 245,008

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Solution

The third proportional to 213,904 and 245,008 is: 280,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,904 : 245,008 = 245,008 : x
  2. Step 2: Convert to fraction form
    213,904/245,008 = 245,008/x
  3. Step 3: Cross multiply
    213,904x = 245,008 × 245,008
  4. Step 4: Simplify right side
    213,904x = 60,028,920,064
  5. Step 5: Solve for x
    x = 60,028,920,064/213,904
  6. Step 6: Final answer
    x = 280,634.86

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.