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Finding the Third Proportional to 102,942 and 223,260

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Solution

The third proportional to 102,942 and 223,260 is: 484,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,942 : 223,260 = 223,260 : x
  2. Step 2: Convert to fraction form
    102,942/223,260 = 223,260/x
  3. Step 3: Cross multiply
    102,942x = 223,260 × 223,260
  4. Step 4: Simplify right side
    102,942x = 49,845,027,600
  5. Step 5: Solve for x
    x = 49,845,027,600/102,942
  6. Step 6: Final answer
    x = 484,204.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.