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Finding the Third Proportional to 148,270.50 and 326,055.38

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Solution

The third proportional to 148,270.50 and 326,055.38 is: 717,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,270.50 : 326,055.38 = 326,055.38 : x
  2. Step 2: Convert to fraction form
    148,270.50/326,055.38 = 326,055.38/x
  3. Step 3: Cross multiply
    148,270.50x = 326,055.38 × 326,055.38
  4. Step 4: Simplify right side
    148,270.50x = 106,312,107,566.39
  5. Step 5: Solve for x
    x = 106,312,107,566.39/148,270.50
  6. Step 6: Final answer
    x = 717,014.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.