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Finding the Third Proportional to 199,500 and 427,023

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Solution

The third proportional to 199,500 and 427,023 is: 914,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,500 : 427,023 = 427,023 : x
  2. Step 2: Convert to fraction form
    199,500/427,023 = 427,023/x
  3. Step 3: Cross multiply
    199,500x = 427,023 × 427,023
  4. Step 4: Simplify right side
    199,500x = 182,348,642,529
  5. Step 5: Solve for x
    x = 182,348,642,529/199,500
  6. Step 6: Final answer
    x = 914,028.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.