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Finding the Third Proportional to 161,256 and 350,208

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Solution

The third proportional to 161,256 and 350,208 is: 760,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,256 : 350,208 = 350,208 : x
  2. Step 2: Convert to fraction form
    161,256/350,208 = 350,208/x
  3. Step 3: Cross multiply
    161,256x = 350,208 × 350,208
  4. Step 4: Simplify right side
    161,256x = 122,645,643,264
  5. Step 5: Solve for x
    x = 122,645,643,264/161,256
  6. Step 6: Final answer
    x = 760,564.84

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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.