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Finding the Third Proportional to 110,819.25 and 237,406.50

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Solution

The third proportional to 110,819.25 and 237,406.50 is: 508,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,819.25 : 237,406.50 = 237,406.50 : x
  2. Step 2: Convert to fraction form
    110,819.25/237,406.50 = 237,406.50/x
  3. Step 3: Cross multiply
    110,819.25x = 237,406.50 × 237,406.50
  4. Step 4: Simplify right side
    110,819.25x = 56,361,846,242.25
  5. Step 5: Solve for x
    x = 56,361,846,242.25/110,819.25
  6. Step 6: Final answer
    x = 508,592.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.