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Finding the Third Proportional to 111,748.50 and 243,445.78

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Solution

The third proportional to 111,748.50 and 243,445.78 is: 530,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,748.50 : 243,445.78 = 243,445.78 : x
  2. Step 2: Convert to fraction form
    111,748.50/243,445.78 = 243,445.78/x
  3. Step 3: Cross multiply
    111,748.50x = 243,445.78 × 243,445.78
  4. Step 4: Simplify right side
    111,748.50x = 59,265,848,408.42
  5. Step 5: Solve for x
    x = 59,265,848,408.42/111,748.50
  6. Step 6: Final answer
    x = 530,350.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.