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Finding the Third Proportional to 109,369.50 and 238,503

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Solution

The third proportional to 109,369.50 and 238,503 is: 520,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,369.50 : 238,503 = 238,503 : x
  2. Step 2: Convert to fraction form
    109,369.50/238,503 = 238,503/x
  3. Step 3: Cross multiply
    109,369.50x = 238,503 × 238,503
  4. Step 4: Simplify right side
    109,369.50x = 56,883,681,009
  5. Step 5: Solve for x
    x = 56,883,681,009/109,369.50
  6. Step 6: Final answer
    x = 520,105.52

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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.