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Finding the Third Proportional to 184,144 and 278,706

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Solution

The third proportional to 184,144 and 278,706 is: 421,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,144 : 278,706 = 278,706 : x
  2. Step 2: Convert to fraction form
    184,144/278,706 = 278,706/x
  3. Step 3: Cross multiply
    184,144x = 278,706 × 278,706
  4. Step 4: Simplify right side
    184,144x = 77,677,034,436
  5. Step 5: Solve for x
    x = 77,677,034,436/184,144
  6. Step 6: Final answer
    x = 421,827.67

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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.