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Finding the Third Proportional to 148,214 and 324,538

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Solution

The third proportional to 148,214 and 324,538 is: 710,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,214 : 324,538 = 324,538 : x
  2. Step 2: Convert to fraction form
    148,214/324,538 = 324,538/x
  3. Step 3: Cross multiply
    148,214x = 324,538 × 324,538
  4. Step 4: Simplify right side
    148,214x = 105,324,913,444
  5. Step 5: Solve for x
    x = 105,324,913,444/148,214
  6. Step 6: Final answer
    x = 710,627.29

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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.