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Finding the Third Proportional to 116,460 and 246,768

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Solution

The third proportional to 116,460 and 246,768 is: 522,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,460 : 246,768 = 246,768 : x
  2. Step 2: Convert to fraction form
    116,460/246,768 = 246,768/x
  3. Step 3: Cross multiply
    116,460x = 246,768 × 246,768
  4. Step 4: Simplify right side
    116,460x = 60,894,445,824
  5. Step 5: Solve for x
    x = 60,894,445,824/116,460
  6. Step 6: Final answer
    x = 522,878.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.