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Finding the Third Proportional to 226,244.75 and 468,148.75

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Solution

The third proportional to 226,244.75 and 468,148.75 is: 968,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,244.75 : 468,148.75 = 468,148.75 : x
  2. Step 2: Convert to fraction form
    226,244.75/468,148.75 = 468,148.75/x
  3. Step 3: Cross multiply
    226,244.75x = 468,148.75 × 468,148.75
  4. Step 4: Simplify right side
    226,244.75x = 219,163,252,126.56
  5. Step 5: Solve for x
    x = 219,163,252,126.56/226,244.75
  6. Step 6: Final answer
    x = 968,699.84

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.