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Finding the Third Proportional to 167,424 and 362,208

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Solution

The third proportional to 167,424 and 362,208 is: 783,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,424 : 362,208 = 362,208 : x
  2. Step 2: Convert to fraction form
    167,424/362,208 = 362,208/x
  3. Step 3: Cross multiply
    167,424x = 362,208 × 362,208
  4. Step 4: Simplify right side
    167,424x = 131,194,635,264
  5. Step 5: Solve for x
    x = 131,194,635,264/167,424
  6. Step 6: Final answer
    x = 783,607.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.