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Finding the Third Proportional to 161,660 and 350,968

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Solution

The third proportional to 161,660 and 350,968 is: 761,960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,660 : 350,968 = 350,968 : x
  2. Step 2: Convert to fraction form
    161,660/350,968 = 350,968/x
  3. Step 3: Cross multiply
    161,660x = 350,968 × 350,968
  4. Step 4: Simplify right side
    161,660x = 123,178,537,024
  5. Step 5: Solve for x
    x = 123,178,537,024/161,660
  6. Step 6: Final answer
    x = 761,960.52

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