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Finding the Third Proportional to 254,172.94 and 547,696.69

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Solution

The third proportional to 254,172.94 and 547,696.69 is: 1,180,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,172.94 : 547,696.69 = 547,696.69 : x
  2. Step 2: Convert to fraction form
    254,172.94/547,696.69 = 547,696.69/x
  3. Step 3: Cross multiply
    254,172.94x = 547,696.69 × 547,696.69
  4. Step 4: Simplify right side
    254,172.94x = 299,971,661,498.47
  5. Step 5: Solve for x
    x = 299,971,661,498.47/254,172.94
  6. Step 6: Final answer
    x = 1,180,187.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.