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Finding the Third Proportional to 267,964 and 363,904

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Solution

The third proportional to 267,964 and 363,904 is: 494,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,964 : 363,904 = 363,904 : x
  2. Step 2: Convert to fraction form
    267,964/363,904 = 363,904/x
  3. Step 3: Cross multiply
    267,964x = 363,904 × 363,904
  4. Step 4: Simplify right side
    267,964x = 132,426,121,216
  5. Step 5: Solve for x
    x = 132,426,121,216/267,964
  6. Step 6: Final answer
    x = 494,193.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.