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Finding the Third Proportional to 158,116.50 and 347,337

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Solution

The third proportional to 158,116.50 and 347,337 is: 763,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,116.50 : 347,337 = 347,337 : x
  2. Step 2: Convert to fraction form
    158,116.50/347,337 = 347,337/x
  3. Step 3: Cross multiply
    158,116.50x = 347,337 × 347,337
  4. Step 4: Simplify right side
    158,116.50x = 120,642,991,569
  5. Step 5: Solve for x
    x = 120,642,991,569/158,116.50
  6. Step 6: Final answer
    x = 763,000.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.