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Finding the Third Proportional to 239,070.23 and 520,197.19

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Solution

The third proportional to 239,070.23 and 520,197.19 is: 1,131,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,070.23 : 520,197.19 = 520,197.19 : x
  2. Step 2: Convert to fraction form
    239,070.23/520,197.19 = 520,197.19/x
  3. Step 3: Cross multiply
    239,070.23x = 520,197.19 × 520,197.19
  4. Step 4: Simplify right side
    239,070.23x = 270,605,113,882.91
  5. Step 5: Solve for x
    x = 270,605,113,882.91/239,070.23
  6. Step 6: Final answer
    x = 1,131,906.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.