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Finding the Third Proportional to 76,255 and 161,222

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Solution

The third proportional to 76,255 and 161,222 is: 340,863.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,255 : 161,222 = 161,222 : x
  2. Step 2: Convert to fraction form
    76,255/161,222 = 161,222/x
  3. Step 3: Cross multiply
    76,255x = 161,222 × 161,222
  4. Step 4: Simplify right side
    76,255x = 25,992,533,284
  5. Step 5: Solve for x
    x = 25,992,533,284/76,255
  6. Step 6: Final answer
    x = 340,863.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.