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Finding the Third Proportional to 70,240.50 and 154,089

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Solution

The third proportional to 70,240.50 and 154,089 is: 338,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,240.50 : 154,089 = 154,089 : x
  2. Step 2: Convert to fraction form
    70,240.50/154,089 = 154,089/x
  3. Step 3: Cross multiply
    70,240.50x = 154,089 × 154,089
  4. Step 4: Simplify right side
    70,240.50x = 23,743,419,921
  5. Step 5: Solve for x
    x = 23,743,419,921/70,240.50
  6. Step 6: Final answer
    x = 338,030.34

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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.