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Finding the Third Proportional to 70,173 and 154,357.50

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Solution

The third proportional to 70,173 and 154,357.50 is: 339,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,173 : 154,357.50 = 154,357.50 : x
  2. Step 2: Convert to fraction form
    70,173/154,357.50 = 154,357.50/x
  3. Step 3: Cross multiply
    70,173x = 154,357.50 × 154,357.50
  4. Step 4: Simplify right side
    70,173x = 23,826,237,806.25
  5. Step 5: Solve for x
    x = 23,826,237,806.25/70,173
  6. Step 6: Final answer
    x = 339,535.69

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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.