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Finding the Third Proportional to 144,008 and 197,762

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Solution

The third proportional to 144,008 and 197,762 is: 271,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,008 : 197,762 = 197,762 : x
  2. Step 2: Convert to fraction form
    144,008/197,762 = 197,762/x
  3. Step 3: Cross multiply
    144,008x = 197,762 × 197,762
  4. Step 4: Simplify right side
    144,008x = 39,109,808,644
  5. Step 5: Solve for x
    x = 39,109,808,644/144,008
  6. Step 6: Final answer
    x = 271,580.81

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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.