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Finding the Third Proportional to 138,757 and 300,841

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Solution

The third proportional to 138,757 and 300,841 is: 652,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,757 : 300,841 = 300,841 : x
  2. Step 2: Convert to fraction form
    138,757/300,841 = 300,841/x
  3. Step 3: Cross multiply
    138,757x = 300,841 × 300,841
  4. Step 4: Simplify right side
    138,757x = 90,505,307,281
  5. Step 5: Solve for x
    x = 90,505,307,281/138,757
  6. Step 6: Final answer
    x = 652,257.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.