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Finding the Third Proportional to 220,878 and 294,281

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Solution

The third proportional to 220,878 and 294,281 is: 392,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,878 : 294,281 = 294,281 : x
  2. Step 2: Convert to fraction form
    220,878/294,281 = 294,281/x
  3. Step 3: Cross multiply
    220,878x = 294,281 × 294,281
  4. Step 4: Simplify right side
    220,878x = 86,601,306,961
  5. Step 5: Solve for x
    x = 86,601,306,961/220,878
  6. Step 6: Final answer
    x = 392,077.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.