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Finding the Third Proportional to 132,555.25 and 200,763.38

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Solution

The third proportional to 132,555.25 and 200,763.38 is: 304,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,555.25 : 200,763.38 = 200,763.38 : x
  2. Step 2: Convert to fraction form
    132,555.25/200,763.38 = 200,763.38/x
  3. Step 3: Cross multiply
    132,555.25x = 200,763.38 × 200,763.38
  4. Step 4: Simplify right side
    132,555.25x = 40,305,932,741.39
  5. Step 5: Solve for x
    x = 40,305,932,741.39/132,555.25
  6. Step 6: Final answer
    x = 304,068.93

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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.