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Finding the Third Proportional to 76,146 and 183,216

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Solution

The third proportional to 76,146 and 183,216 is: 440,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,146 : 183,216 = 183,216 : x
  2. Step 2: Convert to fraction form
    76,146/183,216 = 183,216/x
  3. Step 3: Cross multiply
    76,146x = 183,216 × 183,216
  4. Step 4: Simplify right side
    76,146x = 33,568,102,656
  5. Step 5: Solve for x
    x = 33,568,102,656/76,146
  6. Step 6: Final answer
    x = 440,838.69

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.