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Finding the Third Proportional to 251,335.50 and 520,167

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Solution

The third proportional to 251,335.50 and 520,167 is: 1,076,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,335.50 : 520,167 = 520,167 : x
  2. Step 2: Convert to fraction form
    251,335.50/520,167 = 520,167/x
  3. Step 3: Cross multiply
    251,335.50x = 520,167 × 520,167
  4. Step 4: Simplify right side
    251,335.50x = 270,573,707,889
  5. Step 5: Solve for x
    x = 270,573,707,889/251,335.50
  6. Step 6: Final answer
    x = 1,076,543.93

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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.