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Finding the Third Proportional to 115,773 and 245,757

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Solution

The third proportional to 115,773 and 245,757 is: 521,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,773 : 245,757 = 245,757 : x
  2. Step 2: Convert to fraction form
    115,773/245,757 = 245,757/x
  3. Step 3: Cross multiply
    115,773x = 245,757 × 245,757
  4. Step 4: Simplify right side
    115,773x = 60,396,503,049
  5. Step 5: Solve for x
    x = 60,396,503,049/115,773
  6. Step 6: Final answer
    x = 521,680.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.