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Finding the Third Proportional to 199,946 and 301,971

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Solution

The third proportional to 199,946 and 301,971 is: 456,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,946 : 301,971 = 301,971 : x
  2. Step 2: Convert to fraction form
    199,946/301,971 = 301,971/x
  3. Step 3: Cross multiply
    199,946x = 301,971 × 301,971
  4. Step 4: Simplify right side
    199,946x = 91,186,484,841
  5. Step 5: Solve for x
    x = 91,186,484,841/199,946
  6. Step 6: Final answer
    x = 456,055.56

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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.