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Finding the Third Proportional to 117,012 and 260,307

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Solution

The third proportional to 117,012 and 260,307 is: 579,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,012 : 260,307 = 260,307 : x
  2. Step 2: Convert to fraction form
    117,012/260,307 = 260,307/x
  3. Step 3: Cross multiply
    117,012x = 260,307 × 260,307
  4. Step 4: Simplify right side
    117,012x = 67,759,734,249
  5. Step 5: Solve for x
    x = 67,759,734,249/117,012
  6. Step 6: Final answer
    x = 579,083.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.