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Finding the Third Proportional to 135,841 and 296,923

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Solution

The third proportional to 135,841 and 296,923 is: 649,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,841 : 296,923 = 296,923 : x
  2. Step 2: Convert to fraction form
    135,841/296,923 = 296,923/x
  3. Step 3: Cross multiply
    135,841x = 296,923 × 296,923
  4. Step 4: Simplify right side
    135,841x = 88,163,267,929
  5. Step 5: Solve for x
    x = 88,163,267,929/135,841
  6. Step 6: Final answer
    x = 649,018.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.