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Finding the Third Proportional to 184,769.25 and 257,430

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Solution

The third proportional to 184,769.25 and 257,430 is: 358,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,769.25 : 257,430 = 257,430 : x
  2. Step 2: Convert to fraction form
    184,769.25/257,430 = 257,430/x
  3. Step 3: Cross multiply
    184,769.25x = 257,430 × 257,430
  4. Step 4: Simplify right side
    184,769.25x = 66,270,204,900
  5. Step 5: Solve for x
    x = 66,270,204,900/184,769.25
  6. Step 6: Final answer
    x = 358,664.69

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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.