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Finding the Third Proportional to 184,150.50 and 386,877

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Solution

The third proportional to 184,150.50 and 386,877 is: 812,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,150.50 : 386,877 = 386,877 : x
  2. Step 2: Convert to fraction form
    184,150.50/386,877 = 386,877/x
  3. Step 3: Cross multiply
    184,150.50x = 386,877 × 386,877
  4. Step 4: Simplify right side
    184,150.50x = 149,673,813,129
  5. Step 5: Solve for x
    x = 149,673,813,129/184,150.50
  6. Step 6: Final answer
    x = 812,779.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.