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Finding the Third Proportional to 84,740 and 184,235

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Solution

The third proportional to 84,740 and 184,235 is: 400,549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,740 : 184,235 = 184,235 : x
  2. Step 2: Convert to fraction form
    84,740/184,235 = 184,235/x
  3. Step 3: Cross multiply
    84,740x = 184,235 × 184,235
  4. Step 4: Simplify right side
    84,740x = 33,942,535,225
  5. Step 5: Solve for x
    x = 33,942,535,225/84,740
  6. Step 6: Final answer
    x = 400,549.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.