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Finding the Third Proportional to 199,816 and 301,841

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Solution

The third proportional to 199,816 and 301,841 is: 455,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,816 : 301,841 = 301,841 : x
  2. Step 2: Convert to fraction form
    199,816/301,841 = 301,841/x
  3. Step 3: Cross multiply
    199,816x = 301,841 × 301,841
  4. Step 4: Simplify right side
    199,816x = 91,107,989,281
  5. Step 5: Solve for x
    x = 91,107,989,281/199,816
  6. Step 6: Final answer
    x = 455,959.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.