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Finding the Third Proportional to 251,188 and 541,732

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Solution

The third proportional to 251,188 and 541,732 is: 1,168,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,188 : 541,732 = 541,732 : x
  2. Step 2: Convert to fraction form
    251,188/541,732 = 541,732/x
  3. Step 3: Cross multiply
    251,188x = 541,732 × 541,732
  4. Step 4: Simplify right side
    251,188x = 293,473,559,824
  5. Step 5: Solve for x
    x = 293,473,559,824/251,188
  6. Step 6: Final answer
    x = 1,168,342.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.