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Finding the Third Proportional to 184,784 and 257,451

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Solution

The third proportional to 184,784 and 257,451 is: 358,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,784 : 257,451 = 257,451 : x
  2. Step 2: Convert to fraction form
    184,784/257,451 = 257,451/x
  3. Step 3: Cross multiply
    184,784x = 257,451 × 257,451
  4. Step 4: Simplify right side
    184,784x = 66,281,017,401
  5. Step 5: Solve for x
    x = 66,281,017,401/184,784
  6. Step 6: Final answer
    x = 358,694.57

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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.