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Finding the Third Proportional to 132,620.63 and 271,368.56

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Solution

The third proportional to 132,620.63 and 271,368.56 is: 555,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,620.63 : 271,368.56 = 271,368.56 : x
  2. Step 2: Convert to fraction form
    132,620.63/271,368.56 = 271,368.56/x
  3. Step 3: Cross multiply
    132,620.63x = 271,368.56 × 271,368.56
  4. Step 4: Simplify right side
    132,620.63x = 73,640,896,713.32
  5. Step 5: Solve for x
    x = 73,640,896,713.32/132,620.63
  6. Step 6: Final answer
    x = 555,274.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.