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Finding the Third Proportional to 184,771 and 257,433

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Solution

The third proportional to 184,771 and 257,433 is: 358,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,771 : 257,433 = 257,433 : x
  2. Step 2: Convert to fraction form
    184,771/257,433 = 257,433/x
  3. Step 3: Cross multiply
    184,771x = 257,433 × 257,433
  4. Step 4: Simplify right side
    184,771x = 66,271,749,489
  5. Step 5: Solve for x
    x = 66,271,749,489/184,771
  6. Step 6: Final answer
    x = 358,669.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.