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Finding the Third Proportional to 229,210 and 354,183

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Solution

The third proportional to 229,210 and 354,183 is: 547,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,210 : 354,183 = 354,183 : x
  2. Step 2: Convert to fraction form
    229,210/354,183 = 354,183/x
  3. Step 3: Cross multiply
    229,210x = 354,183 × 354,183
  4. Step 4: Simplify right side
    229,210x = 125,445,597,489
  5. Step 5: Solve for x
    x = 125,445,597,489/229,210
  6. Step 6: Final answer
    x = 547,295.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.