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Finding the Third Proportional to 164,416 and 246,174

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Solution

The third proportional to 164,416 and 246,174 is: 368,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,416 : 246,174 = 246,174 : x
  2. Step 2: Convert to fraction form
    164,416/246,174 = 246,174/x
  3. Step 3: Cross multiply
    164,416x = 246,174 × 246,174
  4. Step 4: Simplify right side
    164,416x = 60,601,638,276
  5. Step 5: Solve for x
    x = 60,601,638,276/164,416
  6. Step 6: Final answer
    x = 368,587.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.