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Finding the Third Proportional to 114,990 and 184,635

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Solution

The third proportional to 114,990 and 184,635 is: 296,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,990 : 184,635 = 184,635 : x
  2. Step 2: Convert to fraction form
    114,990/184,635 = 184,635/x
  3. Step 3: Cross multiply
    114,990x = 184,635 × 184,635
  4. Step 4: Simplify right side
    114,990x = 34,090,083,225
  5. Step 5: Solve for x
    x = 34,090,083,225/114,990
  6. Step 6: Final answer
    x = 296,461.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.