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Finding the Third Proportional to 198,832.88 and 301,145.06

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Solution

The third proportional to 198,832.88 and 301,145.06 is: 456,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,832.88 : 301,145.06 = 301,145.06 : x
  2. Step 2: Convert to fraction form
    198,832.88/301,145.06 = 301,145.06/x
  3. Step 3: Cross multiply
    198,832.88x = 301,145.06 × 301,145.06
  4. Step 4: Simplify right side
    198,832.88x = 90,688,348,668.13
  5. Step 5: Solve for x
    x = 90,688,348,668.13/198,832.88
  6. Step 6: Final answer
    x = 456,103.39

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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.