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Finding the Third Proportional to 163,896 and 247,350

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Solution

The third proportional to 163,896 and 247,350 is: 373,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,896 : 247,350 = 247,350 : x
  2. Step 2: Convert to fraction form
    163,896/247,350 = 247,350/x
  3. Step 3: Cross multiply
    163,896x = 247,350 × 247,350
  4. Step 4: Simplify right side
    163,896x = 61,182,022,500
  5. Step 5: Solve for x
    x = 61,182,022,500/163,896
  6. Step 6: Final answer
    x = 373,297.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.