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Finding the Third Proportional to 137,851.31 and 210,832.31

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Solution

The third proportional to 137,851.31 and 210,832.31 is: 322,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,851.31 : 210,832.31 = 210,832.31 : x
  2. Step 2: Convert to fraction form
    137,851.31/210,832.31 = 210,832.31/x
  3. Step 3: Cross multiply
    137,851.31x = 210,832.31 × 210,832.31
  4. Step 4: Simplify right side
    137,851.31x = 44,450,263,994.10
  5. Step 5: Solve for x
    x = 44,450,263,994.10/137,851.31
  6. Step 6: Final answer
    x = 322,450.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.