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Finding the Third Proportional to 118,208.81 and 256,511.81

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Solution

The third proportional to 118,208.81 and 256,511.81 is: 556,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,208.81 : 256,511.81 = 256,511.81 : x
  2. Step 2: Convert to fraction form
    118,208.81/256,511.81 = 256,511.81/x
  3. Step 3: Cross multiply
    118,208.81x = 256,511.81 × 256,511.81
  4. Step 4: Simplify right side
    118,208.81x = 65,798,309,952.04
  5. Step 5: Solve for x
    x = 65,798,309,952.04/118,208.81
  6. Step 6: Final answer
    x = 556,627.79

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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.