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Finding the Third Proportional to 118,530.75 and 256,825.50

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Solution

The third proportional to 118,530.75 and 256,825.50 is: 556,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,530.75 : 256,825.50 = 256,825.50 : x
  2. Step 2: Convert to fraction form
    118,530.75/256,825.50 = 256,825.50/x
  3. Step 3: Cross multiply
    118,530.75x = 256,825.50 × 256,825.50
  4. Step 4: Simplify right side
    118,530.75x = 65,959,337,450.25
  5. Step 5: Solve for x
    x = 65,959,337,450.25/118,530.75
  6. Step 6: Final answer
    x = 556,474.48

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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.