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Finding the Third Proportional to 117,499 and 241,220

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Solution

The third proportional to 117,499 and 241,220 is: 495,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,499 : 241,220 = 241,220 : x
  2. Step 2: Convert to fraction form
    117,499/241,220 = 241,220/x
  3. Step 3: Cross multiply
    117,499x = 241,220 × 241,220
  4. Step 4: Simplify right side
    117,499x = 58,187,088,400
  5. Step 5: Solve for x
    x = 58,187,088,400/117,499
  6. Step 6: Final answer
    x = 495,213.48

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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.