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Finding the Third Proportional to 116,722 and 256,303

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Solution

The third proportional to 116,722 and 256,303 is: 562,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,722 : 256,303 = 256,303 : x
  2. Step 2: Convert to fraction form
    116,722/256,303 = 256,303/x
  3. Step 3: Cross multiply
    116,722x = 256,303 × 256,303
  4. Step 4: Simplify right side
    116,722x = 65,691,227,809
  5. Step 5: Solve for x
    x = 65,691,227,809/116,722
  6. Step 6: Final answer
    x = 562,800.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.