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Finding the Third Proportional to 236,104 and 356,132

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Solution

The third proportional to 236,104 and 356,132 is: 537,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,104 : 356,132 = 356,132 : x
  2. Step 2: Convert to fraction form
    236,104/356,132 = 356,132/x
  3. Step 3: Cross multiply
    236,104x = 356,132 × 356,132
  4. Step 4: Simplify right side
    236,104x = 126,830,001,424
  5. Step 5: Solve for x
    x = 126,830,001,424/236,104
  6. Step 6: Final answer
    x = 537,178.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.