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Finding the Third Proportional to 267,645 and 363,313.50

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Solution

The third proportional to 267,645 and 363,313.50 is: 493,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,645 : 363,313.50 = 363,313.50 : x
  2. Step 2: Convert to fraction form
    267,645/363,313.50 = 363,313.50/x
  3. Step 3: Cross multiply
    267,645x = 363,313.50 × 363,313.50
  4. Step 4: Simplify right side
    267,645x = 131,996,699,282.25
  5. Step 5: Solve for x
    x = 131,996,699,282.25/267,645
  6. Step 6: Final answer
    x = 493,178.27

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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.