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Finding the Third Proportional to 132,161.63 and 288,066.38

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Solution

The third proportional to 132,161.63 and 288,066.38 is: 627,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,161.63 : 288,066.38 = 288,066.38 : x
  2. Step 2: Convert to fraction form
    132,161.63/288,066.38 = 288,066.38/x
  3. Step 3: Cross multiply
    132,161.63x = 288,066.38 × 288,066.38
  4. Step 4: Simplify right side
    132,161.63x = 82,982,236,405.64
  5. Step 5: Solve for x
    x = 82,982,236,405.64/132,161.63
  6. Step 6: Final answer
    x = 627,884.50

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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.