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Finding the Third Proportional to 267,918 and 369,069

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Solution

The third proportional to 267,918 and 369,069 is: 508,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,918 : 369,069 = 369,069 : x
  2. Step 2: Convert to fraction form
    267,918/369,069 = 369,069/x
  3. Step 3: Cross multiply
    267,918x = 369,069 × 369,069
  4. Step 4: Simplify right side
    267,918x = 136,211,926,761
  5. Step 5: Solve for x
    x = 136,211,926,761/267,918
  6. Step 6: Final answer
    x = 508,409.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.