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Finding the Third Proportional to 150,984 and 352,620

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Solution

The third proportional to 150,984 and 352,620 is: 823,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,984 : 352,620 = 352,620 : x
  2. Step 2: Convert to fraction form
    150,984/352,620 = 352,620/x
  3. Step 3: Cross multiply
    150,984x = 352,620 × 352,620
  4. Step 4: Simplify right side
    150,984x = 124,340,864,400
  5. Step 5: Solve for x
    x = 124,340,864,400/150,984
  6. Step 6: Final answer
    x = 823,536.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.