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Finding the Third Proportional to 236,000 and 511,352

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Solution

The third proportional to 236,000 and 511,352 is: 1,107,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,000 : 511,352 = 511,352 : x
  2. Step 2: Convert to fraction form
    236,000/511,352 = 511,352/x
  3. Step 3: Cross multiply
    236,000x = 511,352 × 511,352
  4. Step 4: Simplify right side
    236,000x = 261,480,867,904
  5. Step 5: Solve for x
    x = 261,480,867,904/236,000
  6. Step 6: Final answer
    x = 1,107,969.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.