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Finding the Third Proportional to 148,641 and 324,444

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Solution

The third proportional to 148,641 and 324,444 is: 708,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,641 : 324,444 = 324,444 : x
  2. Step 2: Convert to fraction form
    148,641/324,444 = 324,444/x
  3. Step 3: Cross multiply
    148,641x = 324,444 × 324,444
  4. Step 4: Simplify right side
    148,641x = 105,263,909,136
  5. Step 5: Solve for x
    x = 105,263,909,136/148,641
  6. Step 6: Final answer
    x = 708,175.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.