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Finding the Third Proportional to 149,965.88 and 316,788.75

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Solution

The third proportional to 149,965.88 and 316,788.75 is: 669,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,965.88 : 316,788.75 = 316,788.75 : x
  2. Step 2: Convert to fraction form
    149,965.88/316,788.75 = 316,788.75/x
  3. Step 3: Cross multiply
    149,965.88x = 316,788.75 × 316,788.75
  4. Step 4: Simplify right side
    149,965.88x = 100,355,112,126.56
  5. Step 5: Solve for x
    x = 100,355,112,126.56/149,965.88
  6. Step 6: Final answer
    x = 669,186.32

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.