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Finding the Third Proportional to 193,252.50 and 412,182

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Solution

The third proportional to 193,252.50 and 412,182 is: 879,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,252.50 : 412,182 = 412,182 : x
  2. Step 2: Convert to fraction form
    193,252.50/412,182 = 412,182/x
  3. Step 3: Cross multiply
    193,252.50x = 412,182 × 412,182
  4. Step 4: Simplify right side
    193,252.50x = 169,894,001,124
  5. Step 5: Solve for x
    x = 169,894,001,124/193,252.50
  6. Step 6: Final answer
    x = 879,129.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.