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Finding the Third Proportional to 173,581.73 and 270,521.65

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Solution

The third proportional to 173,581.73 and 270,521.65 is: 421,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,581.73 : 270,521.65 = 270,521.65 : x
  2. Step 2: Convert to fraction form
    173,581.73/270,521.65 = 270,521.65/x
  3. Step 3: Cross multiply
    173,581.73x = 270,521.65 × 270,521.65
  4. Step 4: Simplify right side
    173,581.73x = 73,181,962,273.34
  5. Step 5: Solve for x
    x = 73,181,962,273.34/173,581.73
  6. Step 6: Final answer
    x = 421,599.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.