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Finding the Third Proportional to 121,233.94 and 263,453.06

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Solution

The third proportional to 121,233.94 and 263,453.06 is: 572,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,233.94 : 263,453.06 = 263,453.06 : x
  2. Step 2: Convert to fraction form
    121,233.94/263,453.06 = 263,453.06/x
  3. Step 3: Cross multiply
    121,233.94x = 263,453.06 × 263,453.06
  4. Step 4: Simplify right side
    121,233.94x = 69,407,516,140.63
  5. Step 5: Solve for x
    x = 69,407,516,140.63/121,233.94
  6. Step 6: Final answer
    x = 572,508.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.