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Finding the Third Proportional to 184,080 and 398,902

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Solution

The third proportional to 184,080 and 398,902 is: 864,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,080 : 398,902 = 398,902 : x
  2. Step 2: Convert to fraction form
    184,080/398,902 = 398,902/x
  3. Step 3: Cross multiply
    184,080x = 398,902 × 398,902
  4. Step 4: Simplify right side
    184,080x = 159,122,805,604
  5. Step 5: Solve for x
    x = 159,122,805,604/184,080
  6. Step 6: Final answer
    x = 864,422.02

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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.