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Finding the Third Proportional to 133,796 and 178,461

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Solution

The third proportional to 133,796 and 178,461 is: 238,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,796 : 178,461 = 178,461 : x
  2. Step 2: Convert to fraction form
    133,796/178,461 = 178,461/x
  3. Step 3: Cross multiply
    133,796x = 178,461 × 178,461
  4. Step 4: Simplify right side
    133,796x = 31,848,328,521
  5. Step 5: Solve for x
    x = 31,848,328,521/133,796
  6. Step 6: Final answer
    x = 238,036.48

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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.