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Finding the Third Proportional to 132,536.25 and 200,733.19

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Solution

The third proportional to 132,536.25 and 200,733.19 is: 304,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,536.25 : 200,733.19 = 200,733.19 : x
  2. Step 2: Convert to fraction form
    132,536.25/200,733.19 = 200,733.19/x
  3. Step 3: Cross multiply
    132,536.25x = 200,733.19 × 200,733.19
  4. Step 4: Simplify right side
    132,536.25x = 40,293,812,563.91
  5. Step 5: Solve for x
    x = 40,293,812,563.91/132,536.25
  6. Step 6: Final answer
    x = 304,021.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.