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Finding the Third Proportional to 160,856 and 236,600

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Solution

The third proportional to 160,856 and 236,600 is: 348,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,856 : 236,600 = 236,600 : x
  2. Step 2: Convert to fraction form
    160,856/236,600 = 236,600/x
  3. Step 3: Cross multiply
    160,856x = 236,600 × 236,600
  4. Step 4: Simplify right side
    160,856x = 55,979,560,000
  5. Step 5: Solve for x
    x = 55,979,560,000/160,856
  6. Step 6: Final answer
    x = 348,010.39

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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.