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Finding the Third Proportional to 158,782 and 245,749

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Solution

The third proportional to 158,782 and 245,749 is: 380,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,782 : 245,749 = 245,749 : x
  2. Step 2: Convert to fraction form
    158,782/245,749 = 245,749/x
  3. Step 3: Cross multiply
    158,782x = 245,749 × 245,749
  4. Step 4: Simplify right side
    158,782x = 60,392,571,001
  5. Step 5: Solve for x
    x = 60,392,571,001/158,782
  6. Step 6: Final answer
    x = 380,348.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.