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Finding the Third Proportional to 167,325 and 245,406

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Solution

The third proportional to 167,325 and 245,406 is: 359,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,325 : 245,406 = 245,406 : x
  2. Step 2: Convert to fraction form
    167,325/245,406 = 245,406/x
  3. Step 3: Cross multiply
    167,325x = 245,406 × 245,406
  4. Step 4: Simplify right side
    167,325x = 60,224,104,836
  5. Step 5: Solve for x
    x = 60,224,104,836/167,325
  6. Step 6: Final answer
    x = 359,922.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.