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Finding the Third Proportional to 242,189 and 373,503

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Solution

The third proportional to 242,189 and 373,503 is: 576,014.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,189 : 373,503 = 373,503 : x
  2. Step 2: Convert to fraction form
    242,189/373,503 = 373,503/x
  3. Step 3: Cross multiply
    242,189x = 373,503 × 373,503
  4. Step 4: Simplify right side
    242,189x = 139,504,491,009
  5. Step 5: Solve for x
    x = 139,504,491,009/242,189
  6. Step 6: Final answer
    x = 576,014.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.