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Finding the Third Proportional to 167,406 and 248,213

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Solution

The third proportional to 167,406 and 248,213 is: 368,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,406 : 248,213 = 248,213 : x
  2. Step 2: Convert to fraction form
    167,406/248,213 = 248,213/x
  3. Step 3: Cross multiply
    167,406x = 248,213 × 248,213
  4. Step 4: Simplify right side
    167,406x = 61,609,693,369
  5. Step 5: Solve for x
    x = 61,609,693,369/167,406
  6. Step 6: Final answer
    x = 368,025.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.