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Finding the Third Proportional to 232,230.16 and 384,346.27

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Solution

The third proportional to 232,230.16 and 384,346.27 is: 636,101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,230.16 : 384,346.27 = 384,346.27 : x
  2. Step 2: Convert to fraction form
    232,230.16/384,346.27 = 384,346.27/x
  3. Step 3: Cross multiply
    232,230.16x = 384,346.27 × 384,346.27
  4. Step 4: Simplify right side
    232,230.16x = 147,722,051,899.88
  5. Step 5: Solve for x
    x = 147,722,051,899.88/232,230.16
  6. Step 6: Final answer
    x = 636,101.91

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.