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Finding the Third Proportional to 116,743.22 and 256,334.06

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Solution

The third proportional to 116,743.22 and 256,334.06 is: 562,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,743.22 : 256,334.06 = 256,334.06 : x
  2. Step 2: Convert to fraction form
    116,743.22/256,334.06 = 256,334.06/x
  3. Step 3: Cross multiply
    116,743.22x = 256,334.06 × 256,334.06
  4. Step 4: Simplify right side
    116,743.22x = 65,707,151,597.75
  5. Step 5: Solve for x
    x = 65,707,151,597.75/116,743.22
  6. Step 6: Final answer
    x = 562,834.85

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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.