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Finding the Third Proportional to 138,036 and 295,740

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Solution

The third proportional to 138,036 and 295,740 is: 633,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,036 : 295,740 = 295,740 : x
  2. Step 2: Convert to fraction form
    138,036/295,740 = 295,740/x
  3. Step 3: Cross multiply
    138,036x = 295,740 × 295,740
  4. Step 4: Simplify right side
    138,036x = 87,462,147,600
  5. Step 5: Solve for x
    x = 87,462,147,600/138,036
  6. Step 6: Final answer
    x = 633,618.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.