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Finding the Third Proportional to 161,735 and 350,961

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Solution

The third proportional to 161,735 and 350,961 is: 761,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,735 : 350,961 = 350,961 : x
  2. Step 2: Convert to fraction form
    161,735/350,961 = 350,961/x
  3. Step 3: Cross multiply
    161,735x = 350,961 × 350,961
  4. Step 4: Simplify right side
    161,735x = 123,173,623,521
  5. Step 5: Solve for x
    x = 123,173,623,521/161,735
  6. Step 6: Final answer
    x = 761,576.80

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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.