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Finding the Third Proportional to 189,995.63 and 406,539

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Solution

The third proportional to 189,995.63 and 406,539 is: 869,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,995.63 : 406,539 = 406,539 : x
  2. Step 2: Convert to fraction form
    189,995.63/406,539 = 406,539/x
  3. Step 3: Cross multiply
    189,995.63x = 406,539 × 406,539
  4. Step 4: Simplify right side
    189,995.63x = 165,273,958,521
  5. Step 5: Solve for x
    x = 165,273,958,521/189,995.63
  6. Step 6: Final answer
    x = 869,882.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.