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Finding the Third Proportional to 174,911 and 236,302

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Solution

The third proportional to 174,911 and 236,302 is: 319,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,911 : 236,302 = 236,302 : x
  2. Step 2: Convert to fraction form
    174,911/236,302 = 236,302/x
  3. Step 3: Cross multiply
    174,911x = 236,302 × 236,302
  4. Step 4: Simplify right side
    174,911x = 55,838,635,204
  5. Step 5: Solve for x
    x = 55,838,635,204/174,911
  6. Step 6: Final answer
    x = 319,240.27

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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.