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Finding the Third Proportional to 184,906.13 and 393,643.13

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Solution

The third proportional to 184,906.13 and 393,643.13 is: 838,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,906.13 : 393,643.13 = 393,643.13 : x
  2. Step 2: Convert to fraction form
    184,906.13/393,643.13 = 393,643.13/x
  3. Step 3: Cross multiply
    184,906.13x = 393,643.13 × 393,643.13
  4. Step 4: Simplify right side
    184,906.13x = 154,954,909,859.77
  5. Step 5: Solve for x
    x = 154,954,909,859.77/184,906.13
  6. Step 6: Final answer
    x = 838,019.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.