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Finding the Third Proportional to 116,726 and 256,311

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Solution

The third proportional to 116,726 and 256,311 is: 562,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,726 : 256,311 = 256,311 : x
  2. Step 2: Convert to fraction form
    116,726/256,311 = 256,311/x
  3. Step 3: Cross multiply
    116,726x = 256,311 × 256,311
  4. Step 4: Simplify right side
    116,726x = 65,695,328,721
  5. Step 5: Solve for x
    x = 65,695,328,721/116,726
  6. Step 6: Final answer
    x = 562,816.59

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