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Finding the Third Proportional to 160,769 and 236,172

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Solution

The third proportional to 160,769 and 236,172 is: 346,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,769 : 236,172 = 236,172 : x
  2. Step 2: Convert to fraction form
    160,769/236,172 = 236,172/x
  3. Step 3: Cross multiply
    160,769x = 236,172 × 236,172
  4. Step 4: Simplify right side
    160,769x = 55,777,213,584
  5. Step 5: Solve for x
    x = 55,777,213,584/160,769
  6. Step 6: Final answer
    x = 346,940.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.