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Finding the Third Proportional to 237,099 and 363,543

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Solution

The third proportional to 237,099 and 363,543 is: 557,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,099 : 363,543 = 363,543 : x
  2. Step 2: Convert to fraction form
    237,099/363,543 = 363,543/x
  3. Step 3: Cross multiply
    237,099x = 363,543 × 363,543
  4. Step 4: Simplify right side
    237,099x = 132,163,512,849
  5. Step 5: Solve for x
    x = 132,163,512,849/237,099
  6. Step 6: Final answer
    x = 557,419.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.