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Finding the Third Proportional to 122,312 and 184,700

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Solution

The third proportional to 122,312 and 184,700 is: 278,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,312 : 184,700 = 184,700 : x
  2. Step 2: Convert to fraction form
    122,312/184,700 = 184,700/x
  3. Step 3: Cross multiply
    122,312x = 184,700 × 184,700
  4. Step 4: Simplify right side
    122,312x = 34,114,090,000
  5. Step 5: Solve for x
    x = 34,114,090,000/122,312
  6. Step 6: Final answer
    x = 278,910.41

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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.