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Finding the Third Proportional to 135,036 and 301,176

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Solution

The third proportional to 135,036 and 301,176 is: 671,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,036 : 301,176 = 301,176 : x
  2. Step 2: Convert to fraction form
    135,036/301,176 = 301,176/x
  3. Step 3: Cross multiply
    135,036x = 301,176 × 301,176
  4. Step 4: Simplify right side
    135,036x = 90,706,982,976
  5. Step 5: Solve for x
    x = 90,706,982,976/135,036
  6. Step 6: Final answer
    x = 671,724.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.