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Finding the Third Proportional to 128,211.75 and 233,277.75

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Solution

The third proportional to 128,211.75 and 233,277.75 is: 424,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,211.75 : 233,277.75 = 233,277.75 : x
  2. Step 2: Convert to fraction form
    128,211.75/233,277.75 = 233,277.75/x
  3. Step 3: Cross multiply
    128,211.75x = 233,277.75 × 233,277.75
  4. Step 4: Simplify right side
    128,211.75x = 54,418,508,645.06
  5. Step 5: Solve for x
    x = 54,418,508,645.06/128,211.75
  6. Step 6: Final answer
    x = 424,442.44

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These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.