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Finding the Third Proportional to 251,311.50 and 546,255

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Solution

The third proportional to 251,311.50 and 546,255 is: 1,187,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,311.50 : 546,255 = 546,255 : x
  2. Step 2: Convert to fraction form
    251,311.50/546,255 = 546,255/x
  3. Step 3: Cross multiply
    251,311.50x = 546,255 × 546,255
  4. Step 4: Simplify right side
    251,311.50x = 298,394,525,025
  5. Step 5: Solve for x
    x = 298,394,525,025/251,311.50
  6. Step 6: Final answer
    x = 1,187,349.27

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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.