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Finding the Third Proportional to 184,893 and 264,213

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Solution

The third proportional to 184,893 and 264,213 is: 377,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,893 : 264,213 = 264,213 : x
  2. Step 2: Convert to fraction form
    184,893/264,213 = 264,213/x
  3. Step 3: Cross multiply
    184,893x = 264,213 × 264,213
  4. Step 4: Simplify right side
    184,893x = 69,808,509,369
  5. Step 5: Solve for x
    x = 69,808,509,369/184,893
  6. Step 6: Final answer
    x = 377,561.67

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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.