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Finding the Third Proportional to 237,899 and 368,189

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Solution

The third proportional to 237,899 and 368,189 is: 569,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,899 : 368,189 = 368,189 : x
  2. Step 2: Convert to fraction form
    237,899/368,189 = 368,189/x
  3. Step 3: Cross multiply
    237,899x = 368,189 × 368,189
  4. Step 4: Simplify right side
    237,899x = 135,563,139,721
  5. Step 5: Solve for x
    x = 135,563,139,721/237,899
  6. Step 6: Final answer
    x = 569,834.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.