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Finding the Third Proportional to 132,555.50 and 200,763.75

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Solution

The third proportional to 132,555.50 and 200,763.75 is: 304,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,555.50 : 200,763.75 = 200,763.75 : x
  2. Step 2: Convert to fraction form
    132,555.50/200,763.75 = 200,763.75/x
  3. Step 3: Cross multiply
    132,555.50x = 200,763.75 × 200,763.75
  4. Step 4: Simplify right side
    132,555.50x = 40,306,083,314.06
  5. Step 5: Solve for x
    x = 40,306,083,314.06/132,555.50
  6. Step 6: Final answer
    x = 304,069.49

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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.