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Finding the Third Proportional to 113,280 and 246,264

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Solution

The third proportional to 113,280 and 246,264 is: 535,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,280 : 246,264 = 246,264 : x
  2. Step 2: Convert to fraction form
    113,280/246,264 = 246,264/x
  3. Step 3: Cross multiply
    113,280x = 246,264 × 246,264
  4. Step 4: Simplify right side
    113,280x = 60,645,957,696
  5. Step 5: Solve for x
    x = 60,645,957,696/113,280
  6. Step 6: Final answer
    x = 535,363.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.