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Finding the Third Proportional to 234,175.25 and 552,619.63

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Solution

The third proportional to 234,175.25 and 552,619.63 is: 1,304,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,175.25 : 552,619.63 = 552,619.63 : x
  2. Step 2: Convert to fraction form
    234,175.25/552,619.63 = 552,619.63/x
  3. Step 3: Cross multiply
    234,175.25x = 552,619.63 × 552,619.63
  4. Step 4: Simplify right side
    234,175.25x = 305,388,449,935.14
  5. Step 5: Solve for x
    x = 305,388,449,935.14/234,175.25
  6. Step 6: Final answer
    x = 1,304,102.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.