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Finding the Third Proportional to 165,624 and 234,132

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Solution

The third proportional to 165,624 and 234,132 is: 330,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,624 : 234,132 = 234,132 : x
  2. Step 2: Convert to fraction form
    165,624/234,132 = 234,132/x
  3. Step 3: Cross multiply
    165,624x = 234,132 × 234,132
  4. Step 4: Simplify right side
    165,624x = 54,817,793,424
  5. Step 5: Solve for x
    x = 54,817,793,424/165,624
  6. Step 6: Final answer
    x = 330,977.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.