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Finding the Third Proportional to 161,199 and 350,946

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Solution

The third proportional to 161,199 and 350,946 is: 764,043.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,199 : 350,946 = 350,946 : x
  2. Step 2: Convert to fraction form
    161,199/350,946 = 350,946/x
  3. Step 3: Cross multiply
    161,199x = 350,946 × 350,946
  4. Step 4: Simplify right side
    161,199x = 123,163,094,916
  5. Step 5: Solve for x
    x = 123,163,094,916/161,199
  6. Step 6: Final answer
    x = 764,043.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.