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Finding the Third Proportional to 160,644 and 352,819

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Solution

The third proportional to 160,644 and 352,819 is: 774,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,644 : 352,819 = 352,819 : x
  2. Step 2: Convert to fraction form
    160,644/352,819 = 352,819/x
  3. Step 3: Cross multiply
    160,644x = 352,819 × 352,819
  4. Step 4: Simplify right side
    160,644x = 124,481,246,761
  5. Step 5: Solve for x
    x = 124,481,246,761/160,644
  6. Step 6: Final answer
    x = 774,888.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.