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Finding the Third Proportional to 137,327.25 and 212,525.25

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Solution

The third proportional to 137,327.25 and 212,525.25 is: 328,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,327.25 : 212,525.25 = 212,525.25 : x
  2. Step 2: Convert to fraction form
    137,327.25/212,525.25 = 212,525.25/x
  3. Step 3: Cross multiply
    137,327.25x = 212,525.25 × 212,525.25
  4. Step 4: Simplify right side
    137,327.25x = 45,166,981,887.56
  5. Step 5: Solve for x
    x = 45,166,981,887.56/137,327.25
  6. Step 6: Final answer
    x = 328,900.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.