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Finding the Third Proportional to 132,164 and 288,071

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Solution

The third proportional to 132,164 and 288,071 is: 627,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,164 : 288,071 = 288,071 : x
  2. Step 2: Convert to fraction form
    132,164/288,071 = 288,071/x
  3. Step 3: Cross multiply
    132,164x = 288,071 × 288,071
  4. Step 4: Simplify right side
    132,164x = 82,984,901,041
  5. Step 5: Solve for x
    x = 82,984,901,041/132,164
  6. Step 6: Final answer
    x = 627,893.38

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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.