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Finding the Third Proportional to 163,257 and 247,349

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Solution

The third proportional to 163,257 and 247,349 is: 374,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,257 : 247,349 = 247,349 : x
  2. Step 2: Convert to fraction form
    163,257/247,349 = 247,349/x
  3. Step 3: Cross multiply
    163,257x = 247,349 × 247,349
  4. Step 4: Simplify right side
    163,257x = 61,181,527,801
  5. Step 5: Solve for x
    x = 61,181,527,801/163,257
  6. Step 6: Final answer
    x = 374,755.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.