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Finding the Third Proportional to 163,256 and 252,273

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Solution

The third proportional to 163,256 and 252,273 is: 389,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,256 : 252,273 = 252,273 : x
  2. Step 2: Convert to fraction form
    163,256/252,273 = 252,273/x
  3. Step 3: Cross multiply
    163,256x = 252,273 × 252,273
  4. Step 4: Simplify right side
    163,256x = 63,641,666,529
  5. Step 5: Solve for x
    x = 63,641,666,529/163,256
  6. Step 6: Final answer
    x = 389,827.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.