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Finding the Third Proportional to 220,868 and 294,270

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Solution

The third proportional to 220,868 and 294,270 is: 392,066.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,868 : 294,270 = 294,270 : x
  2. Step 2: Convert to fraction form
    220,868/294,270 = 294,270/x
  3. Step 3: Cross multiply
    220,868x = 294,270 × 294,270
  4. Step 4: Simplify right side
    220,868x = 86,594,832,900
  5. Step 5: Solve for x
    x = 86,594,832,900/220,868
  6. Step 6: Final answer
    x = 392,066.00

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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.