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Finding the Third Proportional to 112,896 and 248,829

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Solution

The third proportional to 112,896 and 248,829 is: 548,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,896 : 248,829 = 248,829 : x
  2. Step 2: Convert to fraction form
    112,896/248,829 = 248,829/x
  3. Step 3: Cross multiply
    112,896x = 248,829 × 248,829
  4. Step 4: Simplify right side
    112,896x = 61,915,871,241
  5. Step 5: Solve for x
    x = 61,915,871,241/112,896
  6. Step 6: Final answer
    x = 548,432.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.