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Finding the Third Proportional to 161,647 and 350,942

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Solution

The third proportional to 161,647 and 350,942 is: 761,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,647 : 350,942 = 350,942 : x
  2. Step 2: Convert to fraction form
    161,647/350,942 = 350,942/x
  3. Step 3: Cross multiply
    161,647x = 350,942 × 350,942
  4. Step 4: Simplify right side
    161,647x = 123,160,287,364
  5. Step 5: Solve for x
    x = 123,160,287,364/161,647
  6. Step 6: Final answer
    x = 761,908.90

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Why These Related Problems?

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