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Finding the Third Proportional to 147,693 and 324,909

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Solution

The third proportional to 147,693 and 324,909 is: 714,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,693 : 324,909 = 324,909 : x
  2. Step 2: Convert to fraction form
    147,693/324,909 = 324,909/x
  3. Step 3: Cross multiply
    147,693x = 324,909 × 324,909
  4. Step 4: Simplify right side
    147,693x = 105,565,858,281
  5. Step 5: Solve for x
    x = 105,565,858,281/147,693
  6. Step 6: Final answer
    x = 714,765.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.