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Finding the Third Proportional to 199,944 and 301,968

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Solution

The third proportional to 199,944 and 301,968 is: 456,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,944 : 301,968 = 301,968 : x
  2. Step 2: Convert to fraction form
    199,944/301,968 = 301,968/x
  3. Step 3: Cross multiply
    199,944x = 301,968 × 301,968
  4. Step 4: Simplify right side
    199,944x = 91,184,673,024
  5. Step 5: Solve for x
    x = 91,184,673,024/199,944
  6. Step 6: Final answer
    x = 456,051.06

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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.