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Finding the Third Proportional to 184,401 and 277,899.75

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Solution

The third proportional to 184,401 and 277,899.75 is: 418,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,401 : 277,899.75 = 277,899.75 : x
  2. Step 2: Convert to fraction form
    184,401/277,899.75 = 277,899.75/x
  3. Step 3: Cross multiply
    184,401x = 277,899.75 × 277,899.75
  4. Step 4: Simplify right side
    184,401x = 77,228,271,050.06
  5. Step 5: Solve for x
    x = 77,228,271,050.06/184,401
  6. Step 6: Final answer
    x = 418,806.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.