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Finding the Third Proportional to 189,192.59 and 284,583.38

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Solution

The third proportional to 189,192.59 and 284,583.38 is: 428,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,192.59 : 284,583.38 = 284,583.38 : x
  2. Step 2: Convert to fraction form
    189,192.59/284,583.38 = 284,583.38/x
  3. Step 3: Cross multiply
    189,192.59x = 284,583.38 × 284,583.38
  4. Step 4: Simplify right side
    189,192.59x = 80,987,697,326.39
  5. Step 5: Solve for x
    x = 80,987,697,326.39/189,192.59
  6. Step 6: Final answer
    x = 428,070.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.