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Finding the Third Proportional to 193,225.92 and 412,985.67

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Solution

The third proportional to 193,225.92 and 412,985.67 is: 882,682.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,225.92 : 412,985.67 = 412,985.67 : x
  2. Step 2: Convert to fraction form
    193,225.92/412,985.67 = 412,985.67/x
  3. Step 3: Cross multiply
    193,225.92x = 412,985.67 × 412,985.67
  4. Step 4: Simplify right side
    193,225.92x = 170,557,165,174.05
  5. Step 5: Solve for x
    x = 170,557,165,174.05/193,225.92
  6. Step 6: Final answer
    x = 882,682.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.