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Finding the Third Proportional to 149,713.88 and 238,093.88

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Solution

The third proportional to 149,713.88 and 238,093.88 is: 378,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,713.88 : 238,093.88 = 238,093.88 : x
  2. Step 2: Convert to fraction form
    149,713.88/238,093.88 = 238,093.88/x
  3. Step 3: Cross multiply
    149,713.88x = 238,093.88 × 238,093.88
  4. Step 4: Simplify right side
    149,713.88x = 56,688,693,312.52
  5. Step 5: Solve for x
    x = 56,688,693,312.52/149,713.88
  6. Step 6: Final answer
    x = 378,646.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.