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Finding the Third Proportional to 198,833.25 and 301,145.63

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Solution

The third proportional to 198,833.25 and 301,145.63 is: 456,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,833.25 : 301,145.63 = 301,145.63 : x
  2. Step 2: Convert to fraction form
    198,833.25/301,145.63 = 301,145.63/x
  3. Step 3: Cross multiply
    198,833.25x = 301,145.63 × 301,145.63
  4. Step 4: Simplify right side
    198,833.25x = 90,688,687,456.64
  5. Step 5: Solve for x
    x = 90,688,687,456.64/198,833.25
  6. Step 6: Final answer
    x = 456,104.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.