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Finding the Third Proportional to 117,724.50 and 256,464.75

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Solution

The third proportional to 117,724.50 and 256,464.75 is: 558,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,724.50 : 256,464.75 = 256,464.75 : x
  2. Step 2: Convert to fraction form
    117,724.50/256,464.75 = 256,464.75/x
  3. Step 3: Cross multiply
    117,724.50x = 256,464.75 × 256,464.75
  4. Step 4: Simplify right side
    117,724.50x = 65,774,167,992.56
  5. Step 5: Solve for x
    x = 65,774,167,992.56/117,724.50
  6. Step 6: Final answer
    x = 558,712.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.