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Finding the Third Proportional to 149,125.50 and 326,601

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Solution

The third proportional to 149,125.50 and 326,601 is: 715,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,125.50 : 326,601 = 326,601 : x
  2. Step 2: Convert to fraction form
    149,125.50/326,601 = 326,601/x
  3. Step 3: Cross multiply
    149,125.50x = 326,601 × 326,601
  4. Step 4: Simplify right side
    149,125.50x = 106,668,213,201
  5. Step 5: Solve for x
    x = 106,668,213,201/149,125.50
  6. Step 6: Final answer
    x = 715,291.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.