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Finding the Third Proportional to 163,257 and 252,274

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Solution

The third proportional to 163,257 and 252,274 is: 389,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,257 : 252,274 = 252,274 : x
  2. Step 2: Convert to fraction form
    163,257/252,274 = 252,274/x
  3. Step 3: Cross multiply
    163,257x = 252,274 × 252,274
  4. Step 4: Simplify right side
    163,257x = 63,642,171,076
  5. Step 5: Solve for x
    x = 63,642,171,076/163,257
  6. Step 6: Final answer
    x = 389,828.13

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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.