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Finding the Third Proportional to 212,837.63 and 320,820.75

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Solution

The third proportional to 212,837.63 and 320,820.75 is: 483,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,837.63 : 320,820.75 = 320,820.75 : x
  2. Step 2: Convert to fraction form
    212,837.63/320,820.75 = 320,820.75/x
  3. Step 3: Cross multiply
    212,837.63x = 320,820.75 × 320,820.75
  4. Step 4: Simplify right side
    212,837.63x = 102,925,953,630.56
  5. Step 5: Solve for x
    x = 102,925,953,630.56/212,837.63
  6. Step 6: Final answer
    x = 483,589.09

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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.