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Finding the Third Proportional to 158,126 and 342,496

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Solution

The third proportional to 158,126 and 342,496 is: 741,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,126 : 342,496 = 342,496 : x
  2. Step 2: Convert to fraction form
    158,126/342,496 = 342,496/x
  3. Step 3: Cross multiply
    158,126x = 342,496 × 342,496
  4. Step 4: Simplify right side
    158,126x = 117,303,510,016
  5. Step 5: Solve for x
    x = 117,303,510,016/158,126
  6. Step 6: Final answer
    x = 741,835.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.