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Finding the Third Proportional to 199,456.50 and 432,144

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Solution

The third proportional to 199,456.50 and 432,144 is: 936,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,456.50 : 432,144 = 432,144 : x
  2. Step 2: Convert to fraction form
    199,456.50/432,144 = 432,144/x
  3. Step 3: Cross multiply
    199,456.50x = 432,144 × 432,144
  4. Step 4: Simplify right side
    199,456.50x = 186,748,436,736
  5. Step 5: Solve for x
    x = 186,748,436,736/199,456.50
  6. Step 6: Final answer
    x = 936,286.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.