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Finding the Third Proportional to 198,373.50 and 416,133

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Solution

The third proportional to 198,373.50 and 416,133 is: 872,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,373.50 : 416,133 = 416,133 : x
  2. Step 2: Convert to fraction form
    198,373.50/416,133 = 416,133/x
  3. Step 3: Cross multiply
    198,373.50x = 416,133 × 416,133
  4. Step 4: Simplify right side
    198,373.50x = 173,166,673,689
  5. Step 5: Solve for x
    x = 173,166,673,689/198,373.50
  6. Step 6: Final answer
    x = 872,932.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.