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Finding the Third Proportional to 162,847 and 353,545

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Solution

The third proportional to 162,847 and 353,545 is: 767,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,847 : 353,545 = 353,545 : x
  2. Step 2: Convert to fraction form
    162,847/353,545 = 353,545/x
  3. Step 3: Cross multiply
    162,847x = 353,545 × 353,545
  4. Step 4: Simplify right side
    162,847x = 124,994,067,025
  5. Step 5: Solve for x
    x = 124,994,067,025/162,847
  6. Step 6: Final answer
    x = 767,555.23

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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.