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Finding the Third Proportional to 114,157 and 236,270

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Solution

The third proportional to 114,157 and 236,270 is: 489,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,157 : 236,270 = 236,270 : x
  2. Step 2: Convert to fraction form
    114,157/236,270 = 236,270/x
  3. Step 3: Cross multiply
    114,157x = 236,270 × 236,270
  4. Step 4: Simplify right side
    114,157x = 55,823,512,900
  5. Step 5: Solve for x
    x = 55,823,512,900/114,157
  6. Step 6: Final answer
    x = 489,006.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.