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Finding the Third Proportional to 189,713.63 and 406,324.13

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Solution

The third proportional to 189,713.63 and 406,324.13 is: 870,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,713.63 : 406,324.13 = 406,324.13 : x
  2. Step 2: Convert to fraction form
    189,713.63/406,324.13 = 406,324.13/x
  3. Step 3: Cross multiply
    189,713.63x = 406,324.13 × 406,324.13
  4. Step 4: Simplify right side
    189,713.63x = 165,099,294,557.02
  5. Step 5: Solve for x
    x = 165,099,294,557.02/189,713.63
  6. Step 6: Final answer
    x = 870,255.34

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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.