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Finding the Third Proportional to 128,431.50 and 184,384.50

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Solution

The third proportional to 128,431.50 and 184,384.50 is: 264,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,431.50 : 184,384.50 = 184,384.50 : x
  2. Step 2: Convert to fraction form
    128,431.50/184,384.50 = 184,384.50/x
  3. Step 3: Cross multiply
    128,431.50x = 184,384.50 × 184,384.50
  4. Step 4: Simplify right side
    128,431.50x = 33,997,643,840.25
  5. Step 5: Solve for x
    x = 33,997,643,840.25/128,431.50
  6. Step 6: Final answer
    x = 264,714.22

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.