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Finding the Third Proportional to 137,851.03 and 210,832.03

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Solution

The third proportional to 137,851.03 and 210,832.03 is: 322,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,851.03 : 210,832.03 = 210,832.03 : x
  2. Step 2: Convert to fraction form
    137,851.03/210,832.03 = 210,832.03/x
  3. Step 3: Cross multiply
    137,851.03x = 210,832.03 × 210,832.03
  4. Step 4: Simplify right side
    137,851.03x = 44,450,145,401.00
  5. Step 5: Solve for x
    x = 44,450,145,401.00/137,851.03
  6. Step 6: Final answer
    x = 322,450.58

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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.