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Finding the Third Proportional to 149,955.75 and 316,768.50

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Solution

The third proportional to 149,955.75 and 316,768.50 is: 669,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,955.75 : 316,768.50 = 316,768.50 : x
  2. Step 2: Convert to fraction form
    149,955.75/316,768.50 = 316,768.50/x
  3. Step 3: Cross multiply
    149,955.75x = 316,768.50 × 316,768.50
  4. Step 4: Simplify right side
    149,955.75x = 100,342,282,592.25
  5. Step 5: Solve for x
    x = 100,342,282,592.25/149,955.75
  6. Step 6: Final answer
    x = 669,145.95

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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.