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Finding the Third Proportional to 193,740 and 418,062

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Solution

The third proportional to 193,740 and 418,062 is: 902,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,740 : 418,062 = 418,062 : x
  2. Step 2: Convert to fraction form
    193,740/418,062 = 418,062/x
  3. Step 3: Cross multiply
    193,740x = 418,062 × 418,062
  4. Step 4: Simplify right side
    193,740x = 174,775,835,844
  5. Step 5: Solve for x
    x = 174,775,835,844/193,740
  6. Step 6: Final answer
    x = 902,115.39

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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.