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Finding the Third Proportional to 121,180 and 248,236

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Solution

The third proportional to 121,180 and 248,236 is: 508,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,180 : 248,236 = 248,236 : x
  2. Step 2: Convert to fraction form
    121,180/248,236 = 248,236/x
  3. Step 3: Cross multiply
    121,180x = 248,236 × 248,236
  4. Step 4: Simplify right side
    121,180x = 61,621,111,696
  5. Step 5: Solve for x
    x = 61,621,111,696/121,180
  6. Step 6: Final answer
    x = 508,508.93

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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.