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Finding the Third Proportional to 236,157 and 274,543.50

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Solution

The third proportional to 236,157 and 274,543.50 is: 319,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,157 : 274,543.50 = 274,543.50 : x
  2. Step 2: Convert to fraction form
    236,157/274,543.50 = 274,543.50/x
  3. Step 3: Cross multiply
    236,157x = 274,543.50 × 274,543.50
  4. Step 4: Simplify right side
    236,157x = 75,374,133,392.25
  5. Step 5: Solve for x
    x = 75,374,133,392.25/236,157
  6. Step 6: Final answer
    x = 319,169.59

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.