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Finding the Third Proportional to 121,408 and 248,827

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Solution

The third proportional to 121,408 and 248,827 is: 509,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,408 : 248,827 = 248,827 : x
  2. Step 2: Convert to fraction form
    121,408/248,827 = 248,827/x
  3. Step 3: Cross multiply
    121,408x = 248,827 × 248,827
  4. Step 4: Simplify right side
    121,408x = 61,914,875,929
  5. Step 5: Solve for x
    x = 61,914,875,929/121,408
  6. Step 6: Final answer
    x = 509,973.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.