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Finding the Third Proportional to 158,896 and 245,800

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Solution

The third proportional to 158,896 and 245,800 is: 380,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,896 : 245,800 = 245,800 : x
  2. Step 2: Convert to fraction form
    158,896/245,800 = 245,800/x
  3. Step 3: Cross multiply
    158,896x = 245,800 × 245,800
  4. Step 4: Simplify right side
    158,896x = 60,417,640,000
  5. Step 5: Solve for x
    x = 60,417,640,000/158,896
  6. Step 6: Final answer
    x = 380,233.86

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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.