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Finding the Third Proportional to 184,548 and 401,080

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Solution

The third proportional to 184,548 and 401,080 is: 871,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,548 : 401,080 = 401,080 : x
  2. Step 2: Convert to fraction form
    184,548/401,080 = 401,080/x
  3. Step 3: Cross multiply
    184,548x = 401,080 × 401,080
  4. Step 4: Simplify right side
    184,548x = 160,865,166,400
  5. Step 5: Solve for x
    x = 160,865,166,400/184,548
  6. Step 6: Final answer
    x = 871,671.14

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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.