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Finding the Third Proportional to 208,314 and 275,770

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Solution

The third proportional to 208,314 and 275,770 is: 365,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,314 : 275,770 = 275,770 : x
  2. Step 2: Convert to fraction form
    208,314/275,770 = 275,770/x
  3. Step 3: Cross multiply
    208,314x = 275,770 × 275,770
  4. Step 4: Simplify right side
    208,314x = 76,049,092,900
  5. Step 5: Solve for x
    x = 76,049,092,900/208,314
  6. Step 6: Final answer
    x = 365,069.52

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.