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Finding the Third Proportional to 251,762.50 and 547,795

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Solution

The third proportional to 251,762.50 and 547,795 is: 1,191,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,762.50 : 547,795 = 547,795 : x
  2. Step 2: Convert to fraction form
    251,762.50/547,795 = 547,795/x
  3. Step 3: Cross multiply
    251,762.50x = 547,795 × 547,795
  4. Step 4: Simplify right side
    251,762.50x = 300,079,362,025
  5. Step 5: Solve for x
    x = 300,079,362,025/251,762.50
  6. Step 6: Final answer
    x = 1,191,914.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.