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Finding the Third Proportional to 183,795 and 398,124

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Solution

The third proportional to 183,795 and 398,124 is: 862,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,795 : 398,124 = 398,124 : x
  2. Step 2: Convert to fraction form
    183,795/398,124 = 398,124/x
  3. Step 3: Cross multiply
    183,795x = 398,124 × 398,124
  4. Step 4: Simplify right side
    183,795x = 158,502,719,376
  5. Step 5: Solve for x
    x = 158,502,719,376/183,795
  6. Step 6: Final answer
    x = 862,388.64

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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.