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Finding the Third Proportional to 226,731.50 and 498,172.50

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Solution

The third proportional to 226,731.50 and 498,172.50 is: 1,094,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,731.50 : 498,172.50 = 498,172.50 : x
  2. Step 2: Convert to fraction form
    226,731.50/498,172.50 = 498,172.50/x
  3. Step 3: Cross multiply
    226,731.50x = 498,172.50 × 498,172.50
  4. Step 4: Simplify right side
    226,731.50x = 248,175,839,756.25
  5. Step 5: Solve for x
    x = 248,175,839,756.25/226,731.50
  6. Step 6: Final answer
    x = 1,094,580.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.