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Finding the Third Proportional to 184,564.50 and 401,145

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Solution

The third proportional to 184,564.50 and 401,145 is: 871,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,564.50 : 401,145 = 401,145 : x
  2. Step 2: Convert to fraction form
    184,564.50/401,145 = 401,145/x
  3. Step 3: Cross multiply
    184,564.50x = 401,145 × 401,145
  4. Step 4: Simplify right side
    184,564.50x = 160,917,311,025
  5. Step 5: Solve for x
    x = 160,917,311,025/184,564.50
  6. Step 6: Final answer
    x = 871,875.75

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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.