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Finding the Third Proportional to 178,535 and 236,941

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Solution

The third proportional to 178,535 and 236,941 is: 314,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,535 : 236,941 = 236,941 : x
  2. Step 2: Convert to fraction form
    178,535/236,941 = 236,941/x
  3. Step 3: Cross multiply
    178,535x = 236,941 × 236,941
  4. Step 4: Simplify right side
    178,535x = 56,141,037,481
  5. Step 5: Solve for x
    x = 56,141,037,481/178,535
  6. Step 6: Final answer
    x = 314,453.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.