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Finding the Third Proportional to 199,176.75 and 304,824.94

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Solution

The third proportional to 199,176.75 and 304,824.94 is: 466,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,176.75 : 304,824.94 = 304,824.94 : x
  2. Step 2: Convert to fraction form
    199,176.75/304,824.94 = 304,824.94/x
  3. Step 3: Cross multiply
    199,176.75x = 304,824.94 × 304,824.94
  4. Step 4: Simplify right side
    199,176.75x = 92,918,242,521.88
  5. Step 5: Solve for x
    x = 92,918,242,521.88/199,176.75
  6. Step 6: Final answer
    x = 466,511.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.