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Finding the Third Proportional to 116,976 and 183,312

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Solution

The third proportional to 116,976 and 183,312 is: 287,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,976 : 183,312 = 183,312 : x
  2. Step 2: Convert to fraction form
    116,976/183,312 = 183,312/x
  3. Step 3: Cross multiply
    116,976x = 183,312 × 183,312
  4. Step 4: Simplify right side
    116,976x = 33,603,289,344
  5. Step 5: Solve for x
    x = 33,603,289,344/116,976
  6. Step 6: Final answer
    x = 287,266.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.