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Finding the Third Proportional to 267,813.84 and 363,312.84

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Solution

The third proportional to 267,813.84 and 363,312.84 is: 492,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,813.84 : 363,312.84 = 363,312.84 : x
  2. Step 2: Convert to fraction form
    267,813.84/363,312.84 = 363,312.84/x
  3. Step 3: Cross multiply
    267,813.84x = 363,312.84 × 363,312.84
  4. Step 4: Simplify right side
    267,813.84x = 131,996,222,433.71
  5. Step 5: Solve for x
    x = 131,996,222,433.71/267,813.84
  6. Step 6: Final answer
    x = 492,865.57

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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.