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Finding the Third Proportional to 153,848.25 and 323,241.75

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Solution

The third proportional to 153,848.25 and 323,241.75 is: 679,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,848.25 : 323,241.75 = 323,241.75 : x
  2. Step 2: Convert to fraction form
    153,848.25/323,241.75 = 323,241.75/x
  3. Step 3: Cross multiply
    153,848.25x = 323,241.75 × 323,241.75
  4. Step 4: Simplify right side
    153,848.25x = 104,485,228,943.06
  5. Step 5: Solve for x
    x = 104,485,228,943.06/153,848.25
  6. Step 6: Final answer
    x = 679,144.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.