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Finding the Third Proportional to 116,120.25 and 254,373.75

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Solution

The third proportional to 116,120.25 and 254,373.75 is: 557,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,120.25 : 254,373.75 = 254,373.75 : x
  2. Step 2: Convert to fraction form
    116,120.25/254,373.75 = 254,373.75/x
  3. Step 3: Cross multiply
    116,120.25x = 254,373.75 × 254,373.75
  4. Step 4: Simplify right side
    116,120.25x = 64,706,004,689.06
  5. Step 5: Solve for x
    x = 64,706,004,689.06/116,120.25
  6. Step 6: Final answer
    x = 557,232.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.