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Finding the Third Proportional to 184,889 and 264,211

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Solution

The third proportional to 184,889 and 264,211 is: 377,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,889 : 264,211 = 264,211 : x
  2. Step 2: Convert to fraction form
    184,889/264,211 = 264,211/x
  3. Step 3: Cross multiply
    184,889x = 264,211 × 264,211
  4. Step 4: Simplify right side
    184,889x = 69,807,452,521
  5. Step 5: Solve for x
    x = 69,807,452,521/184,889
  6. Step 6: Final answer
    x = 377,564.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.