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Finding the Third Proportional to 199,573.88 and 291,930.75

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Solution

The third proportional to 199,573.88 and 291,930.75 is: 427,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,573.88 : 291,930.75 = 291,930.75 : x
  2. Step 2: Convert to fraction form
    199,573.88/291,930.75 = 291,930.75/x
  3. Step 3: Cross multiply
    199,573.88x = 291,930.75 × 291,930.75
  4. Step 4: Simplify right side
    199,573.88x = 85,223,562,795.56
  5. Step 5: Solve for x
    x = 85,223,562,795.56/199,573.88
  6. Step 6: Final answer
    x = 427,027.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.