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Finding the Third Proportional to 193,289.63 and 399,837.38

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Solution

The third proportional to 193,289.63 and 399,837.38 is: 827,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,289.63 : 399,837.38 = 399,837.38 : x
  2. Step 2: Convert to fraction form
    193,289.63/399,837.38 = 399,837.38/x
  3. Step 3: Cross multiply
    193,289.63x = 399,837.38 × 399,837.38
  4. Step 4: Simplify right side
    193,289.63x = 159,869,926,446.89
  5. Step 5: Solve for x
    x = 159,869,926,446.89/193,289.63
  6. Step 6: Final answer
    x = 827,100.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.