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Finding the Third Proportional to 118,308.44 and 256,578.50

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Solution

The third proportional to 118,308.44 and 256,578.50 is: 556,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,308.44 : 256,578.50 = 256,578.50 : x
  2. Step 2: Convert to fraction form
    118,308.44/256,578.50 = 256,578.50/x
  3. Step 3: Cross multiply
    118,308.44x = 256,578.50 × 256,578.50
  4. Step 4: Simplify right side
    118,308.44x = 65,832,526,662.25
  5. Step 5: Solve for x
    x = 65,832,526,662.25/118,308.44
  6. Step 6: Final answer
    x = 556,448.28

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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.