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Finding the Third Proportional to 158,788.13 and 246,930.19

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Solution

The third proportional to 158,788.13 and 246,930.19 is: 383,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,788.13 : 246,930.19 = 246,930.19 : x
  2. Step 2: Convert to fraction form
    158,788.13/246,930.19 = 246,930.19/x
  3. Step 3: Cross multiply
    158,788.13x = 246,930.19 × 246,930.19
  4. Step 4: Simplify right side
    158,788.13x = 60,974,517,498.79
  5. Step 5: Solve for x
    x = 60,974,517,498.79/158,788.13
  6. Step 6: Final answer
    x = 383,999.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.