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Finding the Third Proportional to 184,781.50 and 257,447

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Solution

The third proportional to 184,781.50 and 257,447 is: 358,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,781.50 : 257,447 = 257,447 : x
  2. Step 2: Convert to fraction form
    184,781.50/257,447 = 257,447/x
  3. Step 3: Cross multiply
    184,781.50x = 257,447 × 257,447
  4. Step 4: Simplify right side
    184,781.50x = 66,278,957,809
  5. Step 5: Solve for x
    x = 66,278,957,809/184,781.50
  6. Step 6: Final answer
    x = 358,688.28

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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.