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Finding the Third Proportional to 184,781 and 257,446

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Solution

The third proportional to 184,781 and 257,446 is: 358,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,781 : 257,446 = 257,446 : x
  2. Step 2: Convert to fraction form
    184,781/257,446 = 257,446/x
  3. Step 3: Cross multiply
    184,781x = 257,446 × 257,446
  4. Step 4: Simplify right side
    184,781x = 66,278,442,916
  5. Step 5: Solve for x
    x = 66,278,442,916/184,781
  6. Step 6: Final answer
    x = 358,686.46

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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.