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Finding the Third Proportional to 189,239.25 and 413,308.50

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Solution

The third proportional to 189,239.25 and 413,308.50 is: 902,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,239.25 : 413,308.50 = 413,308.50 : x
  2. Step 2: Convert to fraction form
    189,239.25/413,308.50 = 413,308.50/x
  3. Step 3: Cross multiply
    189,239.25x = 413,308.50 × 413,308.50
  4. Step 4: Simplify right side
    189,239.25x = 170,823,916,172.25
  5. Step 5: Solve for x
    x = 170,823,916,172.25/189,239.25
  6. Step 6: Final answer
    x = 902,687.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.