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Finding the Third Proportional to 183,496 and 397,872

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Solution

The third proportional to 183,496 and 397,872 is: 862,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,496 : 397,872 = 397,872 : x
  2. Step 2: Convert to fraction form
    183,496/397,872 = 397,872/x
  3. Step 3: Cross multiply
    183,496x = 397,872 × 397,872
  4. Step 4: Simplify right side
    183,496x = 158,302,128,384
  5. Step 5: Solve for x
    x = 158,302,128,384/183,496
  6. Step 6: Final answer
    x = 862,700.70

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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.