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Finding the Third Proportional to 166,155 and 251,216

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Solution

The third proportional to 166,155 and 251,216 is: 379,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,155 : 251,216 = 251,216 : x
  2. Step 2: Convert to fraction form
    166,155/251,216 = 251,216/x
  3. Step 3: Cross multiply
    166,155x = 251,216 × 251,216
  4. Step 4: Simplify right side
    166,155x = 63,109,478,656
  5. Step 5: Solve for x
    x = 63,109,478,656/166,155
  6. Step 6: Final answer
    x = 379,822.93

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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.