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Finding the Third Proportional to 127,415.25 and 281,985.75

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Solution

The third proportional to 127,415.25 and 281,985.75 is: 624,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,415.25 : 281,985.75 = 281,985.75 : x
  2. Step 2: Convert to fraction form
    127,415.25/281,985.75 = 281,985.75/x
  3. Step 3: Cross multiply
    127,415.25x = 281,985.75 × 281,985.75
  4. Step 4: Simplify right side
    127,415.25x = 79,515,963,203.06
  5. Step 5: Solve for x
    x = 79,515,963,203.06/127,415.25
  6. Step 6: Final answer
    x = 624,069.44

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.