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Finding the Third Proportional to 165,264 and 247,536

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Solution

The third proportional to 165,264 and 247,536 is: 370,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,264 : 247,536 = 247,536 : x
  2. Step 2: Convert to fraction form
    165,264/247,536 = 247,536/x
  3. Step 3: Cross multiply
    165,264x = 247,536 × 247,536
  4. Step 4: Simplify right side
    165,264x = 61,274,071,296
  5. Step 5: Solve for x
    x = 61,274,071,296/165,264
  6. Step 6: Final answer
    x = 370,764.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.