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Finding the Third Proportional to 107,807.50 and 226,786

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Solution

The third proportional to 107,807.50 and 226,786 is: 477,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,807.50 : 226,786 = 226,786 : x
  2. Step 2: Convert to fraction form
    107,807.50/226,786 = 226,786/x
  3. Step 3: Cross multiply
    107,807.50x = 226,786 × 226,786
  4. Step 4: Simplify right side
    107,807.50x = 51,431,889,796
  5. Step 5: Solve for x
    x = 51,431,889,796/107,807.50
  6. Step 6: Final answer
    x = 477,071.54

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.