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Finding the Third Proportional to 184,005 and 374,776.50

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Solution

The third proportional to 184,005 and 374,776.50 is: 763,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,005 : 374,776.50 = 374,776.50 : x
  2. Step 2: Convert to fraction form
    184,005/374,776.50 = 374,776.50/x
  3. Step 3: Cross multiply
    184,005x = 374,776.50 × 374,776.50
  4. Step 4: Simplify right side
    184,005x = 140,457,424,952.25
  5. Step 5: Solve for x
    x = 140,457,424,952.25/184,005
  6. Step 6: Final answer
    x = 763,334.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.