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Finding the Third Proportional to 251,137.50 and 542,109

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Solution

The third proportional to 251,137.50 and 542,109 is: 1,170,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,137.50 : 542,109 = 542,109 : x
  2. Step 2: Convert to fraction form
    251,137.50/542,109 = 542,109/x
  3. Step 3: Cross multiply
    251,137.50x = 542,109 × 542,109
  4. Step 4: Simplify right side
    251,137.50x = 293,882,167,881
  5. Step 5: Solve for x
    x = 293,882,167,881/251,137.50
  6. Step 6: Final answer
    x = 1,170,204.24

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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.