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Finding the Third Proportional to 162,664.88 and 352,481.63

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Solution

The third proportional to 162,664.88 and 352,481.63 is: 763,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,664.88 : 352,481.63 = 352,481.63 : x
  2. Step 2: Convert to fraction form
    162,664.88/352,481.63 = 352,481.63/x
  3. Step 3: Cross multiply
    162,664.88x = 352,481.63 × 352,481.63
  4. Step 4: Simplify right side
    162,664.88x = 124,243,295,962.64
  5. Step 5: Solve for x
    x = 124,243,295,962.64/162,664.88
  6. Step 6: Final answer
    x = 763,799.17

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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.