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Finding the Third Proportional to 118,647 and 256,240.13

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Solution

The third proportional to 118,647 and 256,240.13 is: 553,397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,647 : 256,240.13 = 256,240.13 : x
  2. Step 2: Convert to fraction form
    118,647/256,240.13 = 256,240.13/x
  3. Step 3: Cross multiply
    118,647x = 256,240.13 × 256,240.13
  4. Step 4: Simplify right side
    118,647x = 65,659,001,660.02
  5. Step 5: Solve for x
    x = 65,659,001,660.02/118,647
  6. Step 6: Final answer
    x = 553,397.91

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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.