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Finding the Third Proportional to 163,262 and 247,357

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Solution

The third proportional to 163,262 and 247,357 is: 374,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,262 : 247,357 = 247,357 : x
  2. Step 2: Convert to fraction form
    163,262/247,357 = 247,357/x
  3. Step 3: Cross multiply
    163,262x = 247,357 × 247,357
  4. Step 4: Simplify right side
    163,262x = 61,185,485,449
  5. Step 5: Solve for x
    x = 61,185,485,449/163,262
  6. Step 6: Final answer
    x = 374,768.69

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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.