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Finding the Third Proportional to 132,008 and 308,026

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Solution

The third proportional to 132,008 and 308,026 is: 718,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,008 : 308,026 = 308,026 : x
  2. Step 2: Convert to fraction form
    132,008/308,026 = 308,026/x
  3. Step 3: Cross multiply
    132,008x = 308,026 × 308,026
  4. Step 4: Simplify right side
    132,008x = 94,880,016,676
  5. Step 5: Solve for x
    x = 94,880,016,676/132,008
  6. Step 6: Final answer
    x = 718,744.44

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.