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Finding the Third Proportional to 117,733.50 and 257,322.75

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Solution

The third proportional to 117,733.50 and 257,322.75 is: 562,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,733.50 : 257,322.75 = 257,322.75 : x
  2. Step 2: Convert to fraction form
    117,733.50/257,322.75 = 257,322.75/x
  3. Step 3: Cross multiply
    117,733.50x = 257,322.75 × 257,322.75
  4. Step 4: Simplify right side
    117,733.50x = 66,214,997,667.56
  5. Step 5: Solve for x
    x = 66,214,997,667.56/117,733.50
  6. Step 6: Final answer
    x = 562,414.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.