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Finding the Third Proportional to 195,646 and 262,060

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Solution

The third proportional to 195,646 and 262,060 is: 351,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,646 : 262,060 = 262,060 : x
  2. Step 2: Convert to fraction form
    195,646/262,060 = 262,060/x
  3. Step 3: Cross multiply
    195,646x = 262,060 × 262,060
  4. Step 4: Simplify right side
    195,646x = 68,675,443,600
  5. Step 5: Solve for x
    x = 68,675,443,600/195,646
  6. Step 6: Final answer
    x = 351,018.90

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.