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Finding the Third Proportional to 160,559 and 352,898

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Solution

The third proportional to 160,559 and 352,898 is: 775,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,559 : 352,898 = 352,898 : x
  2. Step 2: Convert to fraction form
    160,559/352,898 = 352,898/x
  3. Step 3: Cross multiply
    160,559x = 352,898 × 352,898
  4. Step 4: Simplify right side
    160,559x = 124,536,998,404
  5. Step 5: Solve for x
    x = 124,536,998,404/160,559
  6. Step 6: Final answer
    x = 775,646.33

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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.