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Finding the Third Proportional to 193,912 and 418,953.50

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Solution

The third proportional to 193,912 and 418,953.50 is: 905,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,912 : 418,953.50 = 418,953.50 : x
  2. Step 2: Convert to fraction form
    193,912/418,953.50 = 418,953.50/x
  3. Step 3: Cross multiply
    193,912x = 418,953.50 × 418,953.50
  4. Step 4: Simplify right side
    193,912x = 175,522,035,162.25
  5. Step 5: Solve for x
    x = 175,522,035,162.25/193,912
  6. Step 6: Final answer
    x = 905,163.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.