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Finding the Third Proportional to 117,240.75 and 276,483.38

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Solution

The third proportional to 117,240.75 and 276,483.38 is: 652,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,240.75 : 276,483.38 = 276,483.38 : x
  2. Step 2: Convert to fraction form
    117,240.75/276,483.38 = 276,483.38/x
  3. Step 3: Cross multiply
    117,240.75x = 276,483.38 × 276,483.38
  4. Step 4: Simplify right side
    117,240.75x = 76,443,056,651.39
  5. Step 5: Solve for x
    x = 76,443,056,651.39/117,240.75
  6. Step 6: Final answer
    x = 652,017.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.