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Finding the Third Proportional to 161,206 and 350,960

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Solution

The third proportional to 161,206 and 350,960 is: 764,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,206 : 350,960 = 350,960 : x
  2. Step 2: Convert to fraction form
    161,206/350,960 = 350,960/x
  3. Step 3: Cross multiply
    161,206x = 350,960 × 350,960
  4. Step 4: Simplify right side
    161,206x = 123,172,921,600
  5. Step 5: Solve for x
    x = 123,172,921,600/161,206
  6. Step 6: Final answer
    x = 764,071.57

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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.