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Finding the Third Proportional to 158,598 and 245,865

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Solution

The third proportional to 158,598 and 245,865 is: 381,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,598 : 245,865 = 245,865 : x
  2. Step 2: Convert to fraction form
    158,598/245,865 = 245,865/x
  3. Step 3: Cross multiply
    158,598x = 245,865 × 245,865
  4. Step 4: Simplify right side
    158,598x = 60,449,598,225
  5. Step 5: Solve for x
    x = 60,449,598,225/158,598
  6. Step 6: Final answer
    x = 381,149.81

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Why These Related Problems?

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