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Finding the Third Proportional to 107,792 and 234,236

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Solution

The third proportional to 107,792 and 234,236 is: 509,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,792 : 234,236 = 234,236 : x
  2. Step 2: Convert to fraction form
    107,792/234,236 = 234,236/x
  3. Step 3: Cross multiply
    107,792x = 234,236 × 234,236
  4. Step 4: Simplify right side
    107,792x = 54,866,503,696
  5. Step 5: Solve for x
    x = 54,866,503,696/107,792
  6. Step 6: Final answer
    x = 509,003.49

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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.