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Finding the Third Proportional to 116,563 and 255,968

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Solution

The third proportional to 116,563 and 255,968 is: 562,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,563 : 255,968 = 255,968 : x
  2. Step 2: Convert to fraction form
    116,563/255,968 = 255,968/x
  3. Step 3: Cross multiply
    116,563x = 255,968 × 255,968
  4. Step 4: Simplify right side
    116,563x = 65,519,617,024
  5. Step 5: Solve for x
    x = 65,519,617,024/116,563
  6. Step 6: Final answer
    x = 562,096.18

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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.