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Finding the Third Proportional to 183,374 and 397,636

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Solution

The third proportional to 183,374 and 397,636 is: 862,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,374 : 397,636 = 397,636 : x
  2. Step 2: Convert to fraction form
    183,374/397,636 = 397,636/x
  3. Step 3: Cross multiply
    183,374x = 397,636 × 397,636
  4. Step 4: Simplify right side
    183,374x = 158,114,388,496
  5. Step 5: Solve for x
    x = 158,114,388,496/183,374
  6. Step 6: Final answer
    x = 862,250.86

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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.