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Finding the Third Proportional to 163,008 and 350,119

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Solution

The third proportional to 163,008 and 350,119 is: 752,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,008 : 350,119 = 350,119 : x
  2. Step 2: Convert to fraction form
    163,008/350,119 = 350,119/x
  3. Step 3: Cross multiply
    163,008x = 350,119 × 350,119
  4. Step 4: Simplify right side
    163,008x = 122,583,314,161
  5. Step 5: Solve for x
    x = 122,583,314,161/163,008
  6. Step 6: Final answer
    x = 752,007.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.