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Finding the Third Proportional to 71,478.50 and 155,406.88

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Solution

The third proportional to 71,478.50 and 155,406.88 is: 337,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,478.50 : 155,406.88 = 155,406.88 : x
  2. Step 2: Convert to fraction form
    71,478.50/155,406.88 = 155,406.88/x
  3. Step 3: Cross multiply
    71,478.50x = 155,406.88 × 155,406.88
  4. Step 4: Simplify right side
    71,478.50x = 24,151,296,797.27
  5. Step 5: Solve for x
    x = 24,151,296,797.27/71,478.50
  6. Step 6: Final answer
    x = 337,881.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.