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Finding the Third Proportional to 149,818 and 321,869.50

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Solution

The third proportional to 149,818 and 321,869.50 is: 691,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,818 : 321,869.50 = 321,869.50 : x
  2. Step 2: Convert to fraction form
    149,818/321,869.50 = 321,869.50/x
  3. Step 3: Cross multiply
    149,818x = 321,869.50 × 321,869.50
  4. Step 4: Simplify right side
    149,818x = 103,599,975,030.25
  5. Step 5: Solve for x
    x = 103,599,975,030.25/149,818
  6. Step 6: Final answer
    x = 691,505.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.