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Finding the Third Proportional to 208,052 and 313,274

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Solution

The third proportional to 208,052 and 313,274 is: 471,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,052 : 313,274 = 313,274 : x
  2. Step 2: Convert to fraction form
    208,052/313,274 = 313,274/x
  3. Step 3: Cross multiply
    208,052x = 313,274 × 313,274
  4. Step 4: Simplify right side
    208,052x = 98,140,599,076
  5. Step 5: Solve for x
    x = 98,140,599,076/208,052
  6. Step 6: Final answer
    x = 471,711.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.