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Finding the Third Proportional to 197,573.24 and 282,353.66

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Solution

The third proportional to 197,573.24 and 282,353.66 is: 403,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,573.24 : 282,353.66 = 282,353.66 : x
  2. Step 2: Convert to fraction form
    197,573.24/282,353.66 = 282,353.66/x
  3. Step 3: Cross multiply
    197,573.24x = 282,353.66 × 282,353.66
  4. Step 4: Simplify right side
    197,573.24x = 79,723,589,403.63
  5. Step 5: Solve for x
    x = 79,723,589,403.63/197,573.24
  6. Step 6: Final answer
    x = 403,514.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.