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Finding the Third Proportional to 138,964 and 303,352

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Solution

The third proportional to 138,964 and 303,352 is: 662,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,964 : 303,352 = 303,352 : x
  2. Step 2: Convert to fraction form
    138,964/303,352 = 303,352/x
  3. Step 3: Cross multiply
    138,964x = 303,352 × 303,352
  4. Step 4: Simplify right side
    138,964x = 92,022,435,904
  5. Step 5: Solve for x
    x = 92,022,435,904/138,964
  6. Step 6: Final answer
    x = 662,203.42

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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.