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Finding the Third Proportional to 163,471 and 253,226

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Solution

The third proportional to 163,471 and 253,226 is: 392,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,471 : 253,226 = 253,226 : x
  2. Step 2: Convert to fraction form
    163,471/253,226 = 253,226/x
  3. Step 3: Cross multiply
    163,471x = 253,226 × 253,226
  4. Step 4: Simplify right side
    163,471x = 64,123,407,076
  5. Step 5: Solve for x
    x = 64,123,407,076/163,471
  6. Step 6: Final answer
    x = 392,261.67

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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.