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Finding the Third Proportional to 144,216 and 197,853

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Solution

The third proportional to 144,216 and 197,853 is: 271,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,216 : 197,853 = 197,853 : x
  2. Step 2: Convert to fraction form
    144,216/197,853 = 197,853/x
  3. Step 3: Cross multiply
    144,216x = 197,853 × 197,853
  4. Step 4: Simplify right side
    144,216x = 39,145,809,609
  5. Step 5: Solve for x
    x = 39,145,809,609/144,216
  6. Step 6: Final answer
    x = 271,438.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.