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Finding the Third Proportional to 199,820 and 301,848

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Solution

The third proportional to 199,820 and 301,848 is: 455,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,820 : 301,848 = 301,848 : x
  2. Step 2: Convert to fraction form
    199,820/301,848 = 301,848/x
  3. Step 3: Cross multiply
    199,820x = 301,848 × 301,848
  4. Step 4: Simplify right side
    199,820x = 91,112,215,104
  5. Step 5: Solve for x
    x = 91,112,215,104/199,820
  6. Step 6: Final answer
    x = 455,971.45

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