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Finding the Third Proportional to 119,304 and 182,700

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Solution

The third proportional to 119,304 and 182,700 is: 279,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,304 : 182,700 = 182,700 : x
  2. Step 2: Convert to fraction form
    119,304/182,700 = 182,700/x
  3. Step 3: Cross multiply
    119,304x = 182,700 × 182,700
  4. Step 4: Simplify right side
    119,304x = 33,379,290,000
  5. Step 5: Solve for x
    x = 33,379,290,000/119,304
  6. Step 6: Final answer
    x = 279,783.49

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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.