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Finding the Third Proportional to 184,530.75 and 301,319.63

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Solution

The third proportional to 184,530.75 and 301,319.63 is: 492,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,530.75 : 301,319.63 = 301,319.63 : x
  2. Step 2: Convert to fraction form
    184,530.75/301,319.63 = 301,319.63/x
  3. Step 3: Cross multiply
    184,530.75x = 301,319.63 × 301,319.63
  4. Step 4: Simplify right side
    184,530.75x = 90,793,516,410.14
  5. Step 5: Solve for x
    x = 90,793,516,410.14/184,530.75
  6. Step 6: Final answer
    x = 492,023.78

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.