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Finding the Third Proportional to 118,725.75 and 256,395.38

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Solution

The third proportional to 118,725.75 and 256,395.38 is: 553,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,725.75 : 256,395.38 = 256,395.38 : x
  2. Step 2: Convert to fraction form
    118,725.75/256,395.38 = 256,395.38/x
  3. Step 3: Cross multiply
    118,725.75x = 256,395.38 × 256,395.38
  4. Step 4: Simplify right side
    118,725.75x = 65,738,588,321.39
  5. Step 5: Solve for x
    x = 65,738,588,321.39/118,725.75
  6. Step 6: Final answer
    x = 553,701.18

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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.