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Finding the Third Proportional to 70,605 and 155,158.50

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Solution

The third proportional to 70,605 and 155,158.50 is: 340,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,605 : 155,158.50 = 155,158.50 : x
  2. Step 2: Convert to fraction form
    70,605/155,158.50 = 155,158.50/x
  3. Step 3: Cross multiply
    70,605x = 155,158.50 × 155,158.50
  4. Step 4: Simplify right side
    70,605x = 24,074,160,122.25
  5. Step 5: Solve for x
    x = 24,074,160,122.25/70,605
  6. Step 6: Final answer
    x = 340,969.62

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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.