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Finding the Third Proportional to 148,903.50 and 318,583.50

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Solution

The third proportional to 148,903.50 and 318,583.50 is: 681,618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,903.50 : 318,583.50 = 318,583.50 : x
  2. Step 2: Convert to fraction form
    148,903.50/318,583.50 = 318,583.50/x
  3. Step 3: Cross multiply
    148,903.50x = 318,583.50 × 318,583.50
  4. Step 4: Simplify right side
    148,903.50x = 101,495,446,472.25
  5. Step 5: Solve for x
    x = 101,495,446,472.25/148,903.50
  6. Step 6: Final answer
    x = 681,618.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.