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Finding the Third Proportional to 148,241.75 and 325,051.25

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Solution

The third proportional to 148,241.75 and 325,051.25 is: 712,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,241.75 : 325,051.25 = 325,051.25 : x
  2. Step 2: Convert to fraction form
    148,241.75/325,051.25 = 325,051.25/x
  3. Step 3: Cross multiply
    148,241.75x = 325,051.25 × 325,051.25
  4. Step 4: Simplify right side
    148,241.75x = 105,658,315,126.56
  5. Step 5: Solve for x
    x = 105,658,315,126.56/148,241.75
  6. Step 6: Final answer
    x = 712,743.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.