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Finding the Third Proportional to 133,816 and 201,858

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Solution

The third proportional to 133,816 and 201,858 is: 304,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,816 : 201,858 = 201,858 : x
  2. Step 2: Convert to fraction form
    133,816/201,858 = 201,858/x
  3. Step 3: Cross multiply
    133,816x = 201,858 × 201,858
  4. Step 4: Simplify right side
    133,816x = 40,746,652,164
  5. Step 5: Solve for x
    x = 40,746,652,164/133,816
  6. Step 6: Final answer
    x = 304,497.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.