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Finding the Third Proportional to 160,769 and 236,343

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Solution

The third proportional to 160,769 and 236,343 is: 347,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,769 : 236,343 = 236,343 : x
  2. Step 2: Convert to fraction form
    160,769/236,343 = 236,343/x
  3. Step 3: Cross multiply
    160,769x = 236,343 × 236,343
  4. Step 4: Simplify right side
    160,769x = 55,858,013,649
  5. Step 5: Solve for x
    x = 55,858,013,649/160,769
  6. Step 6: Final answer
    x = 347,442.69

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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.