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Finding the Third Proportional to 118,533.94 and 256,750.88

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Solution

The third proportional to 118,533.94 and 256,750.88 is: 556,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,533.94 : 256,750.88 = 256,750.88 : x
  2. Step 2: Convert to fraction form
    118,533.94/256,750.88 = 256,750.88/x
  3. Step 3: Cross multiply
    118,533.94x = 256,750.88 × 256,750.88
  4. Step 4: Simplify right side
    118,533.94x = 65,921,011,813.27
  5. Step 5: Solve for x
    x = 65,921,011,813.27/118,533.94
  6. Step 6: Final answer
    x = 556,136.19

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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.