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Finding the Third Proportional to 144,512 and 306,520

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Solution

The third proportional to 144,512 and 306,520 is: 650,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,512 : 306,520 = 306,520 : x
  2. Step 2: Convert to fraction form
    144,512/306,520 = 306,520/x
  3. Step 3: Cross multiply
    144,512x = 306,520 × 306,520
  4. Step 4: Simplify right side
    144,512x = 93,954,510,400
  5. Step 5: Solve for x
    x = 93,954,510,400/144,512
  6. Step 6: Final answer
    x = 650,150.23

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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.