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Finding the Third Proportional to 184,955.06 and 401,628.38

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Solution

The third proportional to 184,955.06 and 401,628.38 is: 872,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,955.06 : 401,628.38 = 401,628.38 : x
  2. Step 2: Convert to fraction form
    184,955.06/401,628.38 = 401,628.38/x
  3. Step 3: Cross multiply
    184,955.06x = 401,628.38 × 401,628.38
  4. Step 4: Simplify right side
    184,955.06x = 161,305,351,605.14
  5. Step 5: Solve for x
    x = 161,305,351,605.14/184,955.06
  6. Step 6: Final answer
    x = 872,132.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.