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Finding the Third Proportional to 184,731 and 297,496.50

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Solution

The third proportional to 184,731 and 297,496.50 is: 479,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,731 : 297,496.50 = 297,496.50 : x
  2. Step 2: Convert to fraction form
    184,731/297,496.50 = 297,496.50/x
  3. Step 3: Cross multiply
    184,731x = 297,496.50 × 297,496.50
  4. Step 4: Simplify right side
    184,731x = 88,504,167,512.25
  5. Step 5: Solve for x
    x = 88,504,167,512.25/184,731
  6. Step 6: Final answer
    x = 479,097.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.