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Finding the Third Proportional to 164,343 and 253,477

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Solution

The third proportional to 164,343 and 253,477 is: 390,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,343 : 253,477 = 253,477 : x
  2. Step 2: Convert to fraction form
    164,343/253,477 = 253,477/x
  3. Step 3: Cross multiply
    164,343x = 253,477 × 253,477
  4. Step 4: Simplify right side
    164,343x = 64,250,589,529
  5. Step 5: Solve for x
    x = 64,250,589,529/164,343
  6. Step 6: Final answer
    x = 390,954.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.