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Finding the Third Proportional to 94,401 and 184,020

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Solution

The third proportional to 94,401 and 184,020 is: 358,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,401 : 184,020 = 184,020 : x
  2. Step 2: Convert to fraction form
    94,401/184,020 = 184,020/x
  3. Step 3: Cross multiply
    94,401x = 184,020 × 184,020
  4. Step 4: Simplify right side
    94,401x = 33,863,360,400
  5. Step 5: Solve for x
    x = 33,863,360,400/94,401
  6. Step 6: Final answer
    x = 358,718.24

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.