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Finding the Third Proportional to 117,792 and 251,460

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Solution

The third proportional to 117,792 and 251,460 is: 536,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,792 : 251,460 = 251,460 : x
  2. Step 2: Convert to fraction form
    117,792/251,460 = 251,460/x
  3. Step 3: Cross multiply
    117,792x = 251,460 × 251,460
  4. Step 4: Simplify right side
    117,792x = 63,232,131,600
  5. Step 5: Solve for x
    x = 63,232,131,600/117,792
  6. Step 6: Final answer
    x = 536,811.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.