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Finding the Third Proportional to 180,473.06 and 392,794.31

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Solution

The third proportional to 180,473.06 and 392,794.31 is: 854,905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,473.06 : 392,794.31 = 392,794.31 : x
  2. Step 2: Convert to fraction form
    180,473.06/392,794.31 = 392,794.31/x
  3. Step 3: Cross multiply
    180,473.06x = 392,794.31 × 392,794.31
  4. Step 4: Simplify right side
    180,473.06x = 154,287,371,932.35
  5. Step 5: Solve for x
    x = 154,287,371,932.35/180,473.06
  6. Step 6: Final answer
    x = 854,905.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.