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Finding the Third Proportional to 229,904 and 355,096

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Solution

The third proportional to 229,904 and 355,096 is: 548,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,904 : 355,096 = 355,096 : x
  2. Step 2: Convert to fraction form
    229,904/355,096 = 355,096/x
  3. Step 3: Cross multiply
    229,904x = 355,096 × 355,096
  4. Step 4: Simplify right side
    229,904x = 126,093,169,216
  5. Step 5: Solve for x
    x = 126,093,169,216/229,904
  6. Step 6: Final answer
    x = 548,460.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.