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Finding the Third Proportional to 159,692.50 and 345,683

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Solution

The third proportional to 159,692.50 and 345,683 is: 748,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,692.50 : 345,683 = 345,683 : x
  2. Step 2: Convert to fraction form
    159,692.50/345,683 = 345,683/x
  3. Step 3: Cross multiply
    159,692.50x = 345,683 × 345,683
  4. Step 4: Simplify right side
    159,692.50x = 119,496,736,489
  5. Step 5: Solve for x
    x = 119,496,736,489/159,692.50
  6. Step 6: Final answer
    x = 748,292.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.