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Finding the Third Proportional to 180,930 and 366,972

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Solution

The third proportional to 180,930 and 366,972 is: 744,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,930 : 366,972 = 366,972 : x
  2. Step 2: Convert to fraction form
    180,930/366,972 = 366,972/x
  3. Step 3: Cross multiply
    180,930x = 366,972 × 366,972
  4. Step 4: Simplify right side
    180,930x = 134,668,448,784
  5. Step 5: Solve for x
    x = 134,668,448,784/180,930
  6. Step 6: Final answer
    x = 744,312.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.