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Finding the Third Proportional to 142,172 and 329,132

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Solution

The third proportional to 142,172 and 329,132 is: 761,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,172 : 329,132 = 329,132 : x
  2. Step 2: Convert to fraction form
    142,172/329,132 = 329,132/x
  3. Step 3: Cross multiply
    142,172x = 329,132 × 329,132
  4. Step 4: Simplify right side
    142,172x = 108,327,873,424
  5. Step 5: Solve for x
    x = 108,327,873,424/142,172
  6. Step 6: Final answer
    x = 761,949.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.