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Finding the Third Proportional to 198,502.88 and 468,524.25

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Solution

The third proportional to 198,502.88 and 468,524.25 is: 1,105,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,502.88 : 468,524.25 = 468,524.25 : x
  2. Step 2: Convert to fraction form
    198,502.88/468,524.25 = 468,524.25/x
  3. Step 3: Cross multiply
    198,502.88x = 468,524.25 × 468,524.25
  4. Step 4: Simplify right side
    198,502.88x = 219,514,972,838.06
  5. Step 5: Solve for x
    x = 219,514,972,838.06/198,502.88
  6. Step 6: Final answer
    x = 1,105,852.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.