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Finding the Third Proportional to 76,628 and 184,928

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Solution

The third proportional to 76,628 and 184,928 is: 446,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,628 : 184,928 = 184,928 : x
  2. Step 2: Convert to fraction form
    76,628/184,928 = 184,928/x
  3. Step 3: Cross multiply
    76,628x = 184,928 × 184,928
  4. Step 4: Simplify right side
    76,628x = 34,198,365,184
  5. Step 5: Solve for x
    x = 34,198,365,184/76,628
  6. Step 6: Final answer
    x = 446,290.72

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.