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Finding the Third Proportional to 139,809 and 304,194

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Solution

The third proportional to 139,809 and 304,194 is: 661,860.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,809 : 304,194 = 304,194 : x
  2. Step 2: Convert to fraction form
    139,809/304,194 = 304,194/x
  3. Step 3: Cross multiply
    139,809x = 304,194 × 304,194
  4. Step 4: Simplify right side
    139,809x = 92,533,989,636
  5. Step 5: Solve for x
    x = 92,533,989,636/139,809
  6. Step 6: Final answer
    x = 661,860.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.