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Finding the Third Proportional to 116,812 and 255,738

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Solution

The third proportional to 116,812 and 255,738 is: 559,890.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,812 : 255,738 = 255,738 : x
  2. Step 2: Convert to fraction form
    116,812/255,738 = 255,738/x
  3. Step 3: Cross multiply
    116,812x = 255,738 × 255,738
  4. Step 4: Simplify right side
    116,812x = 65,401,924,644
  5. Step 5: Solve for x
    x = 65,401,924,644/116,812
  6. Step 6: Final answer
    x = 559,890.46

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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.