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Finding the Third Proportional to 128,607.75 and 197,832.38

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Solution

The third proportional to 128,607.75 and 197,832.38 is: 304,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,607.75 : 197,832.38 = 197,832.38 : x
  2. Step 2: Convert to fraction form
    128,607.75/197,832.38 = 197,832.38/x
  3. Step 3: Cross multiply
    128,607.75x = 197,832.38 × 197,832.38
  4. Step 4: Simplify right side
    128,607.75x = 39,137,648,598.14
  5. Step 5: Solve for x
    x = 39,137,648,598.14/128,607.75
  6. Step 6: Final answer
    x = 304,317.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.