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Finding the Third Proportional to 189,713.44 and 406,323.75

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Solution

The third proportional to 189,713.44 and 406,323.75 is: 870,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,713.44 : 406,323.75 = 406,323.75 : x
  2. Step 2: Convert to fraction form
    189,713.44/406,323.75 = 406,323.75/x
  3. Step 3: Cross multiply
    189,713.44x = 406,323.75 × 406,323.75
  4. Step 4: Simplify right side
    189,713.44x = 165,098,989,814.06
  5. Step 5: Solve for x
    x = 165,098,989,814.06/189,713.44
  6. Step 6: Final answer
    x = 870,254.59

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