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Finding the Third Proportional to 115,766 and 237,676

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Solution

The third proportional to 115,766 and 237,676 is: 487,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,766 : 237,676 = 237,676 : x
  2. Step 2: Convert to fraction form
    115,766/237,676 = 237,676/x
  3. Step 3: Cross multiply
    115,766x = 237,676 × 237,676
  4. Step 4: Simplify right side
    115,766x = 56,489,880,976
  5. Step 5: Solve for x
    x = 56,489,880,976/115,766
  6. Step 6: Final answer
    x = 487,966.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.