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Finding the Third Proportional to 237,372 and 363,114

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Solution

The third proportional to 237,372 and 363,114 is: 555,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,372 : 363,114 = 363,114 : x
  2. Step 2: Convert to fraction form
    237,372/363,114 = 363,114/x
  3. Step 3: Cross multiply
    237,372x = 363,114 × 363,114
  4. Step 4: Simplify right side
    237,372x = 131,851,776,996
  5. Step 5: Solve for x
    x = 131,851,776,996/237,372
  6. Step 6: Final answer
    x = 555,464.74

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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.