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Finding the Third Proportional to 117,561.75 and 256,102.50

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Solution

The third proportional to 117,561.75 and 256,102.50 is: 557,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,561.75 : 256,102.50 = 256,102.50 : x
  2. Step 2: Convert to fraction form
    117,561.75/256,102.50 = 256,102.50/x
  3. Step 3: Cross multiply
    117,561.75x = 256,102.50 × 256,102.50
  4. Step 4: Simplify right side
    117,561.75x = 65,588,490,506.25
  5. Step 5: Solve for x
    x = 65,588,490,506.25/117,561.75
  6. Step 6: Final answer
    x = 557,906.72

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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.