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Finding the Third Proportional to 174,913 and 236,305

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Solution

The third proportional to 174,913 and 236,305 is: 319,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,913 : 236,305 = 236,305 : x
  2. Step 2: Convert to fraction form
    174,913/236,305 = 236,305/x
  3. Step 3: Cross multiply
    174,913x = 236,305 × 236,305
  4. Step 4: Simplify right side
    174,913x = 55,840,053,025
  5. Step 5: Solve for x
    x = 55,840,053,025/174,913
  6. Step 6: Final answer
    x = 319,244.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.