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Finding the Third Proportional to 232,875 and 356,103

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Solution

The third proportional to 232,875 and 356,103 is: 544,538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,875 : 356,103 = 356,103 : x
  2. Step 2: Convert to fraction form
    232,875/356,103 = 356,103/x
  3. Step 3: Cross multiply
    232,875x = 356,103 × 356,103
  4. Step 4: Simplify right side
    232,875x = 126,809,346,609
  5. Step 5: Solve for x
    x = 126,809,346,609/232,875
  6. Step 6: Final answer
    x = 544,538.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.