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Finding the Third Proportional to 115,738 and 245,695

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Solution

The third proportional to 115,738 and 245,695 is: 521,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,738 : 245,695 = 245,695 : x
  2. Step 2: Convert to fraction form
    115,738/245,695 = 245,695/x
  3. Step 3: Cross multiply
    115,738x = 245,695 × 245,695
  4. Step 4: Simplify right side
    115,738x = 60,366,033,025
  5. Step 5: Solve for x
    x = 60,366,033,025/115,738
  6. Step 6: Final answer
    x = 521,574.88

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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.