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Finding the Third Proportional to 153,909 and 245,867

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Solution

The third proportional to 153,909 and 245,867 is: 392,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,909 : 245,867 = 245,867 : x
  2. Step 2: Convert to fraction form
    153,909/245,867 = 245,867/x
  3. Step 3: Cross multiply
    153,909x = 245,867 × 245,867
  4. Step 4: Simplify right side
    153,909x = 60,450,581,689
  5. Step 5: Solve for x
    x = 60,450,581,689/153,909
  6. Step 6: Final answer
    x = 392,768.34

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.