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Finding the Third Proportional to 118,731.75 and 256,407.25

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Solution

The third proportional to 118,731.75 and 256,407.25 is: 553,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,731.75 : 256,407.25 = 256,407.25 : x
  2. Step 2: Convert to fraction form
    118,731.75/256,407.25 = 256,407.25/x
  3. Step 3: Cross multiply
    118,731.75x = 256,407.25 × 256,407.25
  4. Step 4: Simplify right side
    118,731.75x = 65,744,677,852.56
  5. Step 5: Solve for x
    x = 65,744,677,852.56/118,731.75
  6. Step 6: Final answer
    x = 553,724.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.