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Finding the Third Proportional to 162,024 and 253,273

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Solution

The third proportional to 162,024 and 253,273 is: 395,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,024 : 253,273 = 253,273 : x
  2. Step 2: Convert to fraction form
    162,024/253,273 = 253,273/x
  3. Step 3: Cross multiply
    162,024x = 253,273 × 253,273
  4. Step 4: Simplify right side
    162,024x = 64,147,212,529
  5. Step 5: Solve for x
    x = 64,147,212,529/162,024
  6. Step 6: Final answer
    x = 395,911.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.