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Finding the Third Proportional to 135,541.50 and 301,375.50

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Solution

The third proportional to 135,541.50 and 301,375.50 is: 670,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,541.50 : 301,375.50 = 301,375.50 : x
  2. Step 2: Convert to fraction form
    135,541.50/301,375.50 = 301,375.50/x
  3. Step 3: Cross multiply
    135,541.50x = 301,375.50 × 301,375.50
  4. Step 4: Simplify right side
    135,541.50x = 90,827,192,000.25
  5. Step 5: Solve for x
    x = 90,827,192,000.25/135,541.50
  6. Step 6: Final answer
    x = 670,106.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.