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Finding the Third Proportional to 189,703.25 and 406,449.75

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Solution

The third proportional to 189,703.25 and 406,449.75 is: 870,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,703.25 : 406,449.75 = 406,449.75 : x
  2. Step 2: Convert to fraction form
    189,703.25/406,449.75 = 406,449.75/x
  3. Step 3: Cross multiply
    189,703.25x = 406,449.75 × 406,449.75
  4. Step 4: Simplify right side
    189,703.25x = 165,201,399,275.06
  5. Step 5: Solve for x
    x = 165,201,399,275.06/189,703.25
  6. Step 6: Final answer
    x = 870,841.17

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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.